South East Asian Journal of Mathematics and Mathematical Sciences
type: channel
description: Bibliographic information ISSN: 0972-7752 (Print) ISSN: 2582-0850 (Online) DOI: 10.56827/SEAJMMS
publisher: Ramanujan Society of Mathematics and Mathematical Sciences
language: en
publication name: South East Asian Journal of Mathematics and Mathematical Sciences
issn: 0972-7752
items: CERTAIN IDENTITIES DEDUCED FROM SEARS TRANSFORMATION
items: GEODETIC HUB NUMBER OF GRAPHS
items: CERTAIN RESULTS ON $q$-STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC AND CONJUGATE POINTS
items: SOME COUPLED FIXED POINT RESULTS ON $N_p$-CONE METRIC SPACES OVER BANACH ALGEBRA
items: ON EDGE OPEN PACKING SETS OF GRAPHS
items: ENERGY AND LAPLACIAN ENERGY ON INVERSE FUZZY GRAPH
items: GEOMETRICAL PROPERTIES OF GENERALIZED QUASI-CONFORMAL CURVATURE TENSOR
items: INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTION ON PARTIAL FUZZY METRIC SPACES AND RELATED FIXED POINT RESULTS
items: A GEOMETRIC STUDY OF $f(r)$-GRAVITY SPACETIMES THROUGH PROJECTIVE CURVATURE TENSOR
items: ON APPROXIMATE SOLUTIONS OF FRACTIONAL ORDER SMOKING EPIDEMIC MODEL USING SUMUDU DECOMPOSITION METHOD
items: PNN - COCOSO FOR MULTI ATTRIBUTE GROUP DECISION MAKING
items: ON RECENT PARTITION FUNCTION OF KAUR AND RANA
items: https://journals.rsmams.org/seajmams/article/view/850
items: AN APPLICATION OF SOMBOR INDEX OF HESITANCY FUZZY GRAPHS IN MOBILE NETWORKS
items: GENERALIZED $M$-CONTINUOUS AND $M$-IRRESOLUTE MAPPINGS IN FERMATEAN NEUTROSOPHIC TOPOLOGICAL SPACES
items: ON $\Psi_{\alpha,\beta}$--EXPANSIVE MAPPINGS WITH DISPLACEMENT CONTROL AND FIXED POINT CONSEQUENCES
items: PARTITION DIMENSION OF EXTENDED ZERO DIVISOR GRAPHS
items: SHOCK WAVE PROPAGATION IN A SELF-GRAVITATING DUSTY GAS WITH MAGNETIC FIELD IN A ROTATING MEDIUM
items: CONTROLLED $K$-FRAMES IN $2$-HILBERT SPACES
items: UNSTEADY SECOND GRADE ALIGNED MHD FLUID THROUGH POROUS MEDIA IN A ROTATING FRAME: A CLASS OF EXACT SOLUTIONS USING INVERSE METHOD
items: COMMUTATIVITY DEGREE AND GRAPHS RELATED TO CONJUGACY CLASSES OF SOME NON-ABELIAN GROUPS
items: SOME PROPERTIES OF HARMONIC UNIVALENT FUNCTIONS USING Q-CALCULUS AND ERROR FUNCTION
items: DEGREE-BASED TOPOLOGICAL INDICES IN RANDOM POLYGONAL AND SPIRO CHAINS
items: MODIFIED TYPE-1 DIRICHLET AVERAGES OF THE THREE-PARAMETER MITTAG-LEFFLER FUNCTION THROUGH FRACTIONAL INTEGRALS AND SPECIAL FUNCTIONS
items: $L(3, 2, 1)$-LABELING OF SOME CYCLE RELATED GRAPHS
items: FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS
items: RESULTS ON UNIQUENESS OF CERTAIN TYPE OF NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING A VALUE
items: GENERALIZATIONS OF WEAKER FORMS OF OPEN MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND THEIR APPLICATIONS
items: $\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION
items: PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS

CERTAIN IDENTITIES DEDUCED FROM SEARS TRANSFORMATION
type: item
description: In this paper certain identities have been deduced from the Sears Transformation formula.
subject: Research Article
  topic: section
subject: Identity
  topic: keywords
subject: Sears-transformation formula
  topic: keywords
subject: mock theta function
  topic: keywords
subject: summation formula
  topic: keywords
subject: 33D15
  topic: subjects
creator: Vijay Yadav
creator: Mohmmad Shahjade
creator: G.S. Pant
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 143
ending page: 148
doi: 10.56827/SEAJMMS.2026.2201.10

GEODETIC HUB NUMBER OF GRAPHS
type: item
description: A subset $S$ of vertex set $V(G)$ of a graph $G$ of order $n\geq 2$ is a geodetic hub set of $G$ if $S$ is both a geodetic set and a hub set of $G$. The minimum cardinality of a geodetic hub set of $G$ is called the geodetic hub number of $G$, denoted by $h_{geo}(G)$. In this paper, we initiate the study of geodetic hub number of a graph. The geodetic hub number of several classes of graphs are determined and its value for some graph operations are studied.
subject: Research Article
  topic: section
subject: Hub set
  topic: keywords
subject: Hub number
  topic: keywords
subject: Geodetic set
  topic: keywords
subject: Geodetic number
  topic: keywords
subject: 05C07
  topic: subjects
subject: 05C69
  topic: subjects
subject: 05C90
  topic: subjects
creator: Veena Mathad
creator: Sujatha H N
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 69
ending page: 80
doi: 10.56827/SEAJMMS.2026.2201.5

CERTAIN RESULTS ON $q$-STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC AND CONJUGATE POINTS
type: item
description: In the present paper, we introduce two Subclasses $\displaystyle S_{s}^{\ast}(\delta , \theta , q) $ and $\displaystyle S_{c}^{\ast}(\delta , \theta , q)$ of analytic and $q$-starlike functions with respect to symmetric and conjugate points in the open unit disk $\displaystyle {\Delta}$. For functions belonging to these Classes, we obtain estimates coefficient and sufficient Condition.
subject: Research Article
  topic: section
subject: $q$-Starlike with respect to symmetric points
  topic: keywords
subject: $q$-derivative, univalent function
  topic: keywords
subject: 30C45
  topic: subjects
creator: Akram Galeb
creator: Hamid Shamsan
creator: Renuka Devi K.
creator: Saritha G. P.
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 93
ending page: 108
doi: 10.56827/SEAJMMS.2026.2201.7

SOME COUPLED FIXED POINT RESULTS ON $N_p$-CONE METRIC SPACES OVER BANACH ALGEBRA
type: item
description: The main aim of this paper is to introduce the notion of $N_p$-cone metric spaces over Banach algebra. We define $T$-contraction map and study some coupled common fixed point theorems in the new setup. Finally, we state an example as an application to illustrate our obtained results. Our results generalize and extend some well-known results in the literature.
subject: Research Article
  topic: section
subject: $N_p$-cone metric spaces over Banach algebra
  topic: keywords
subject: $c$-sequence, generalized Lipschitz map
  topic: keywords
subject: coupled fixed points
  topic: keywords
subject: 46B20
  topic: subjects
subject: 46B40
  topic: subjects
subject: 46J10
  topic: subjects
subject: 54A05
  topic: subjects
subject: 47H10
  topic: subjects
creator: Jerolina Fernandez
creator: Neeraj Malviya
creator: Sheela
creator: Nizar Souayah
creator: Zoran D. Mitrovi'c
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 161
ending page: 176
doi: 10.56827/SEAJMMS.2026.2201.12

ON EDGE OPEN PACKING SETS OF GRAPHS
type: item
description: A nonempty subset of the edge set of a graph $G$ is called an edge open packing set if no two edges of it have a common edge. The edge open packing number $\rho_e^o(G)$ of a graph $G$ is the maximum number of edges in an edge open packing set. In this paper, a number of results are presented concerning lower and upper bounds of $\rho_e^o(G)$ for graphs such as trees, split graphs and unicyclic graphs. Some open problems are proposed.
subject: Research Article
  topic: section
subject: Open packing number
  topic: keywords
subject: edge open packing number
  topic: keywords
subject: split graphs
  topic: keywords
subject: unicyclic graphs
  topic: keywords
subject: 05C12
  topic: subjects
subject: 05C70
  topic: subjects
subject: 05C75
  topic: subjects
creator: C. Gayathri
creator: Yegnanarayanan Venkataraman
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 25
ending page: 36
doi: 10.56827/SEAJMMS.2026.2201.2

ENERGY AND LAPLACIAN ENERGY ON INVERSE FUZZY GRAPH
type: item
description: Real-time problems involving uncertain or indeterminate information can be effectively addressed using fuzzy graphs (FGs). However, the problems in which the edge membership values have a significant impact due to the combination of its corresponding vertices remain unsolved. To address this, inverse fuzzy graph (IFG) was introduced. In this article, the energy ($E^{I}$) and the Laplacian energy ($LE$) on inverse fuzzy graph (IFG) $G^{I}$ have been newly introduced. Further, various lower and upper bounds are derived for $E^{I}(G^{I})$ and $LE(G^{I})$. Additionally the sharp bound is estimated for $E^{I}(G^{I})$ which aids in determining the minimum and maximum bounds for $E^{I}(G^{I})$. Furthermore, for the newly defined $l-$ regular IFG, the equality condition $E^{I}(G^{I})=LE(G^{I})$ holds true.
subject: Research Article
  topic: section
subject: Inverse fuzzy graph
  topic: keywords
subject: $l-$ Regular Inverse fuzzy graph
  topic: keywords
subject: Energy
  topic: keywords
subject: Laplacian Energy
  topic: keywords
subject: 05C72
  topic: subjects
creator: R. Keerthana
creator: S. Venkatesh
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 37
ending page: 58
doi: 10.56827/SEAJMMS.2026.2201.3

GEOMETRICAL PROPERTIES OF GENERALIZED QUASI-CONFORMAL CURVATURE TENSOR
type: item
description: This paper examines the generalized quasi-conformal curvature $\mathcal{G}$, which generalizes the concept of conformal curvature tensor $\mathcal{C}$, quasi-conformal curvature tensor $\mathcal{\widetilde{C}}$, projective curvature tensor $\mathcal{P}$, pseudo projective curvature tensor $\mathcal{\widetilde{P}}$, and pseudo $W_2-$curvature tensor $\mathcal{\widetilde{W}}_2$. Initially, we acquire some geometrical features. Subsequently, we examine pseudo generalized conformal symmetric manifolds. Divergence-free generalized quasi-conformal curvature tensor is derived from the Gray's decomposition. Additionally, we also examine Einstein $(P\mathcal{G}S)_n$ manifolds. A study of generalized quasi-conformal has been conducted as the four-dimensional spacetime of general relativity $\widetilde{GR}$. Ultimately, we examine a non-trivial Lorentzian metric of $(P\mathcal{G}S)_4$.
subject: Research Article
  topic: section
subject: Pseudo symmetric
  topic: keywords
subject: perfect fluid
  topic: keywords
subject: Einstein's field equation
  topic: keywords
subject: Quasi-conformal curvature tensor $\mathcal{\widetilde{C}}$
  topic: keywords
subject: pseudo projective curvature tensor $\mathcal{\widetilde{P}}$
  topic: keywords
subject: conformal curvature tensor $\mathcal{ C }$
  topic: keywords
subject: projective curvature tensor $\mathcal{ P }$
  topic: keywords
subject: concircular curvature tensor $\mathcal{ L }$
  topic: keywords
subject: generalized quasi conformal curvature tensor $\mathcal{ G }$
  topic: keywords
subject: Gray's decomposition
  topic: keywords
subject: 53C25
  topic: subjects
subject: 53D15
  topic: subjects
creator: P. Kumar Maurya
creator: A. Shukla
creator: B. Prasad
creator: R. Pratap Singh Yadav
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 225
ending page: 248
doi: 10.56827/SEAJMMS.2026.2201.16

INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTION ON PARTIAL FUZZY METRIC SPACES AND RELATED FIXED POINT RESULTS
type: item
description: In this paper, we introduce a new class of fuzzy interpolative Hardy– Rogers type contractions in the frameworks of fuzzy metric spaces and partial fuzzy metric spaces. We establish fixed point theorems guaranteeing the existence and uniqueness of fixed points under suitable contractive conditions involving control parameters. The obtained results extend and unify several known results in the literature, including classical Hardy–Rogers type contractions in fuzzy and partial fuzzy settings. Illustrative examples are also provided to demonstrate the applicability of the proposed results.
subject: Research Article
  topic: section
subject: Fuzzy metric space
  topic: keywords
subject: interpolative Hardy-Rogers contraction
  topic: keywords
subject: partial fuzzy metric space
  topic: keywords
subject: fixed point
  topic: keywords
subject: 47H10
  topic: subjects
subject: 49T99
  topic: subjects
subject: 54H25
  topic: subjects
creator: Prachi Singh
creator: Jaynendra Shrivas
creator: Heena Soni
rights: Copyright (c) 2026 RSMAMS
date: 2026-04-30
publication date: 2026-04-30
starting page: 197
ending page: 210
doi: 10.56827/SEAJMMS.2026.2201.14

A GEOMETRIC STUDY OF $f(r)$-GRAVITY SPACETIMES THROUGH PROJECTIVE CURVATURE TENSOR
type: item
description: This research investigates spacetime with projective curvature tensor in $f(r)$ gravity. It explores projectively flat and projectively flat perfect fluid spacetime, determining isotropic pressure ($p$) and energy density ($\sigma$). The study extends to energy conditions and reveals that spacetimes with divergence-free projective curvature tensor may represent a dark energy dominated era or have constant isotropic pressure and energy density, especially when the energy-momentum tensor is recurrent or bi-recurrent.
subject: Research Article
  topic: section
subject: Spacetime
  topic: keywords
subject: Perfect Fluid Spacetime
  topic: keywords
subject: f (r)-Gravity
  topic: keywords
subject: Projective Curvature Tensor
  topic: keywords
subject: Energy-momentum tensor
  topic: keywords
subject: 53A20
  topic: subjects
subject: 53C25
  topic: subjects
subject: 53C50
  topic: subjects
subject: 83C05
  topic: subjects
subject: 83C15
  topic: subjects
creator: Shyam Kishor
creator: Anjum Ara
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 211
ending page: 224
doi: 10.56827/SEAJMMS.2026.2201.15

ON APPROXIMATE SOLUTIONS OF FRACTIONAL ORDER SMOKING EPIDEMIC MODEL USING SUMUDU DECOMPOSITION METHOD
type: item
description: In this paper, an approximate analytical solution of a fractional-order smoking epidemic model is obtained by employing the Sumudu Decomposition Method (SDM). To validate the effectiveness and reliability of the proposed method, the obtained SDM solutions are compared with numerical solutions computed via the classical Runge–Kutta method. A detailed error and convergence analysis is presented to assess the accuracy of the method. The results demonstrate that the SDM provides highly accurate approximations, particularly for small and moderate time intervals. Graphical simulations are included to illustrate the dynamical behavior of the model for different parameter values. The study confirms that the SDM is a simple, efficient, and reliable technique for solving nonlinear fractional-order epidemic models and can be effectively applied to analyze short-term dynamics in smoking-related population systems.
subject: Research Article
  topic: section
subject: Caputo fractional derivative
  topic: keywords
subject: Sumudu Decomposition Method
  topic: keywords
subject: Sumudu Transform
  topic: keywords
subject: Adomian Polynomials
  topic: keywords
subject: 34A08
  topic: subjects
subject: 92D30
  topic: subjects
creator: H. Imo Mani Singha
creator: Anuradha Devi
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 323
ending page: 336
doi: 10.56827/SEAJMMS.2026.2201.20

PNN - COCOSO FOR MULTI ATTRIBUTE GROUP DECISION MAKING
type: item
description: Decision making in real-world situations is highly challenging during evaluation of a set of alternatives with conflicting criteria. Although there exists a vast body of literature covering different Multi-Attribute Decision Making (MADM) frameworks under single or group decision making (MAGDM), most of them are limited to fuzzy or neutrosophic environments capturing limited uncertainty. To address these limitations, this paper proposes an extension of the Combined Compromise Solution (COCOSO) strategy for group decision making within the framework of Pentapartitioned Neutrosophic Numbers (PNNs), which we name as PNN - COCOSO strategy. Unlike classical fuzzy or single-valued neutrosophic approaches, pentapartitioned neutrosophic numbers allow decision makers to distinguish among truth, falsity, contradiction, and ignorance, providing a comprehensive picture of uncertainty in decision making. Furthermore, this paper utilizes COCOSO's mechanism of multiple compromise measures through a distinguished parameter $\Omega$, combining additive and multiplicative aggregation simultaneously to enhance ranking stability.To illustrate the developed strategy, a benchmark problem of group decision making is selected from literature and analyzed for any alteration of ranking. Additionally, a secondary illustration is also provided to present the case of single decision maker. A comprehensive sensitivity analysis is performed to ascertain the stability of rankings across the ranges of the distinguished parameter $\Omega \in [0.1,1.0]$, enhancing the robustness of the proposed method in decision making.
subject: Research Article
  topic: section
subject: COCOSO method
  topic: keywords
subject: Multi-Attribute Group Decision Making (MAGDM)
  topic: keywords
subject: Pentapartitioned Neutrosophic Number (PNN)
  topic: keywords
subject: Appraisal Score
  topic: keywords
subject: Sensitivity Analysis
  topic: keywords
subject: 08A99
  topic: subjects
subject: 03E99
  topic: subjects
subject: 03B52
  topic: subjects
creator: Surapati Pramanik
creator: Kaushik Sinha Ray
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 01
ending page: 24
doi: 10.56827/SEAJMMS.2026.2201.1

ON RECENT PARTITION FUNCTION OF KAUR AND RANA
type: item
description: Recently, Kaur and Rana introduced the partition function denoted by $\rho(n)$, where the largest part $\lambda$ appears exactly once, and the remaining parts constitute a partition of $\lambda$. In this paper, we establish new generating functions for certain variants of $\rho(n)$. Further, we obtain a linear recurrence relation for our new generating function.
subject: Research Article
  topic: section
subject: Partitions
  topic: keywords
subject: Generating Function
  topic: keywords
subject: 05A15
  topic: subjects
subject: 11P83
  topic: subjects
creator: Anjelin Mariya Johnson
creator: S. N. Fathima
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 81
ending page: 92
doi: 10.56827/SEAJMMS.2026.2201.6

https://journals.rsmams.org/seajmams/article/view/850
type: item
title: QUANTUM CODES THROUGH CONSTACYCLIC CODES OVER $\mathcal{F}_{p}+{\mu}\mathcal{F}_{p}+{\nu}\mathcal{F}_{p}+{\varpi}\mathcal{F}_{p}+{\mu}{\nu}\mathcal{F}_{p}+{\nu}{\varpi}\mathcal{F}_{p}+{\mu}{\varpi}\mathcal{F}_{p}+{\mu}{\nu}{\varpi}\mathcal{F}_{p}$
description: The purpose of this paper is to identify the structural characteristics and construction of quantum codes over $\mathcal{F}_p$ using $\alpha_1+\alpha_2 {\mu}+\alpha_3 {\nu}+\alpha_4 {\varpi}+\alpha_5 {\mu}{\nu}+\alpha_6 {\nu}{\varpi}+\alpha_7 {\mu}{\varpi}+\alpha_8 {\mu}{\nu}{\varpi}- $constacyclic codes over ring $\mathcal{R} ~= ~\mathcal{F}_p[{\mu},{\nu},{\varpi}]/<{\mu}^2-{\mu}, {\nu}^2-{\nu}, {\varpi}^2-{\varpi}~, {\mu}{\nu}-{\nu}{\mu}, {\nu}{\varpi}-{\varpi}{\nu}, {\mu}{\varpi}-{\varpi}{\mu}>$, here $\mathcal F_{p}$ is a finite field with p elements. We define a Gray map from $\mathcal{R}$ to $\mathcal{F}_p^{8}$, a distance-preserving map. Breaking down constacyclic codes into cyclic and negacyclic codes results in the creation of quantum codes over the finite field $\mathcal{F}_p$. As an application, some examples are illustrated to obtain the quantum codes of different parameters.
subject: Research Article
  topic: section
subject: Gray map
  topic: keywords
subject: cyclic codes
  topic: keywords
subject: constacyclic codes
  topic: keywords
subject: negacyclic codes
  topic: keywords
subject: 94B05
  topic: subjects
subject: 94B15
  topic: subjects
subject: 94B60
  topic: subjects
creator: Rekha Kumawat
creator: Monika Sangwan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 349
ending page: 360
doi: 10.56827/SEAJMMS.2025.2103.20

AN APPLICATION OF SOMBOR INDEX OF HESITANCY FUZZY GRAPHS IN MOBILE NETWORKS
type: item
description: Pathinathan T., J. Jon Arockiaraj, and J. Jesintha Rosline [5] introduced the concept of Hesitancy Fuzzy Graphs (HFGs). In this work, we discuss an application of the Sombor index of a HFG in mobile networks. This work includes the comparison of the performance levels of mobile companies --- Jio, BSNL, Airtel, and Vodafone Idea --- in a selected area. Then, we investigate how these mobile companies can improve their performance.
subject: Research Article
  topic: section
subject: Hesitancy Fuzzy Graphs
  topic: keywords
subject: Degree of a vertex in a HFG
  topic: keywords
subject: Sombor Index
  topic: keywords
subject: 05C72
  topic: subjects
subject: 05C76
  topic: subjects
creator: Parvathy Haridas
creator: Shery Fernandez
creator: Rinusha T. R.
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 59
ending page: 68
doi: 10.56827/SEAJMMS.2026.2201.4

GENERALIZED $M$-CONTINUOUS AND $M$-IRRESOLUTE MAPPINGS IN FERMATEAN NEUTROSOPHIC TOPOLOGICAL SPACES
type: item
description: In this paper, we introduce and investigate Fermatean Neutrosophic generalized $M$-continuous mappings and Fermatean Neutrosophic generalized $M$-irresolute mappings within the framework of Fermatean Neutrosophic topological spaces. We systematically study the fundamental topological properties of these newly defined classes of mappings, analyze their behavior under set-theoretic operations, and establish their interrelations with other well-known classes in Fermatean Neutrosophic topology. Several illustrative examples are provided to clarify the concepts and demonstrate the applicability of the proposed framework. Additionally, we examine the structural aspects and role of these mappings in preserving Fermatean Neutrosophic generalized $M$-closed sets. The results significantly enrich the theoretical foundation of Fermatean Neutrosophic topology by extending classical ideas of open and closed mappings, and provide potential applications in decision sciences and information systems where uncertainty and vagueness are inherent.
subject: Research Article
  topic: section
subject: Fermatean Neutrosophic generalized $M$-closed
  topic: keywords
subject: Fermatean Neutrosophic generalized $M$-continuous and Fermatean Neutrosophic generalized $M$-irresolute mappings
  topic: keywords
subject: 54A40
  topic: subjects
subject: 54D30
  topic: subjects
subject: 03E72
  topic: subjects
creator: S. Santhana Lakshmi
creator: Mohanarao Navuluri
creator: A. Vadivel
creator: P. Revathi
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 271
ending page: 294
doi: 10.56827/SEAJMMS.2026.2201.18

ON $\Psi_{\alpha,\beta}$--EXPANSIVE MAPPINGS WITH DISPLACEMENT CONTROL AND FIXED POINT CONSEQUENCES
type: item
description: In this paper, we introduce a new class of nonlinear expansive mappings governed by a rational displacement--distance gauge $\Psi_{\alpha,\beta}$, which simultaneously depends on the interpoint distance and the individual self--displacements of the operator. This framework extends classical Wang--type expansive models that are based solely on interpoint distances. Under a natural domination condition linking displacement and distance, we establish the existence, uniqueness, and global convergence of fixed points for $\Psi_{\alpha,\beta}$--expansive mappings in complete metric spaces. The proposed approach yields a displacement--sensitive expansive mechanism that enables the treatment of operators not covered by classical expansive conditions, thereby overcoming limitations of existing theories and providing a more flexible framework for applications in nonlinear analysis. Several nontrivial examples are presented to illustrate the applicability, strength, and novelty of the proposed theory.
subject: Research Article
  topic: section
subject: Expansive mappings
  topic: keywords
subject: fixed points
  topic: keywords
subject: displacement control
  topic: keywords
subject: rational gauge
  topic: keywords
subject: backward iteration
  topic: keywords
subject: metric spaces
  topic: keywords
subject: 47H10
  topic: subjects
subject: 54H25
  topic: subjects
subject: 54E50
  topic: subjects
creator: Manoj Ughade
creator: Ranjana Maravi
creator: S. S. Shrivastava
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 177
ending page: 196
doi: 10.56827/SEAJMMS.2026.2201.13

PARTITION DIMENSION OF EXTENDED ZERO DIVISOR GRAPHS
type: item
description: The ordered partition $\Pi=\{S_1,S_2,...,S_k\}$ of the vertices of the connected graph $G$ is a resolving partition, if for any vertex $x\in V$ with respect to the partition $\Pi$ is the vector $\zeta(x|\Pi)=(d(x,S_1),d(x,S_2),...,d(x,S_k))$ where $d(x,S_j), 1\leq j \leq k$ represents the distance between the vertex $x$ and the set $S_j$, is different for every pair of vertices and is denoted by $pd(G)$. The partition dimension is the minimum of $k$ for which there is a resolving partition. In this paper, we investigate the partition dimension of the extended zero divisor graphs of certain finite commutative rings.
subject: Research Article
  topic: section
subject: Partition dimension
  topic: keywords
subject: Extended Zero divisor graph
  topic: keywords
subject: Ring of inetegers
  topic: keywords
subject: Commutative ring
  topic: keywords
subject: 13M05
  topic: subjects
subject: 05C12
  topic: subjects
subject: 13A70
  topic: subjects
creator: S. Nithya
creator: V. Prisci
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 257
ending page: 272
doi: 10.56827/SEAJMMS.2025.2103.16

SHOCK WAVE PROPAGATION IN A SELF-GRAVITATING DUSTY GAS WITH MAGNETIC FIELD IN A ROTATING MEDIUM
type: item
description: This study investigates the propagation of exponential shock wave in a self-gravitating, rotating, perfectly conducting mixture of perfect gas and small solid particles (dusty gas) subjected to an axial or azimuthal magnetic field for both the adiabatic and isothermal flow conditions. The analysis incorporates the components of the vorticity vector, and both the isothermal and adiabatic compressibilities. In the present model, the solid particles are assumed to be continuously dispersed throughout the mixture, and flow equilibrium is maintained across the entire flow-field region behind the shock front. The impact of the variations in the physical parameters of the problem on the flow behavior is also investigated. It is worth to notice that, due to an increase in the gravitational parameter or the ratio of the solid-particle density to the initial gas density, the strength of the shock wave increases, while an increment in the adiabatic index or the shock Cowling number results reduction in the shock strength. The presence of an axial magnetic field enhances the shock strength in comparison to that of azimuthal magnetic field. Also, the shock wave is weaker in the isothermal flow condition as compared to the adiabatic flow condition
subject: Research Article
  topic: section
subject: Self-similar solution
  topic: keywords
subject: shock waves
  topic: keywords
subject: magnetogasdynamics
  topic: keywords
subject: dusty gas
  topic: keywords
subject: rotating medium
  topic: keywords
subject: adiabatic and isothermal flows
  topic: keywords
subject: 76L05
  topic: subjects
subject: 76L20
  topic: subjects
subject: 76M55
  topic: subjects
subject: 76T05
  topic: subjects
subject: 76U05
  topic: subjects
subject: 76W05
  topic: subjects
creator: Ritika Omar
creator: G. Nath
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 295
ending page: 322
doi: 10.56827/SEAJMMS.2026.2201.19

CONTROLLED $K$-FRAMES IN $2$-HILBERT SPACES
type: item
description: In this paper, we introduce a new generalization of controlled $K$-frames to the context of $2$-Hilbert spaces, thereby extending beyond classical Hilbert space theory. We develop foundational results by examining the operator-theoretic properties of controlled $K$-frames in this setting, establishing equivalent conditions that characterize them, and exploring their stability under suitable transformations. This builds directly on prior work introducing controlled $K$-frames in Hilbert $C^*$-modules, where the concept was first defined, equivalent conditions were established, relationships between $K$-frames and controlled $K$-frames were revealed, and invariance and perturbation properties were analyzed. Our work elevates these ideas by adapting them to the richer structure of 2-Hilbert spaces-a framework extending Hilbert spaces through inner products valued in $C^*$-algebras.
subject: Research Article
  topic: section
subject: Frame
  topic: keywords
subject: Controlled $K$-frame
  topic: keywords
subject: Controlled $K$-frame operator
  topic: keywords
subject: Controlled $K$- Bessel sequence
  topic: keywords
subject: 42C15
  topic: subjects
subject: 46C50
  topic: subjects
creator: Neha Pauriyal
creator: Mahesh C. Joshi
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 127
ending page: 138
doi: 10.56827/SEAJMMS.2025.2103.8

UNSTEADY SECOND GRADE ALIGNED MHD FLUID THROUGH POROUS MEDIA IN A ROTATING FRAME: A CLASS OF EXACT SOLUTIONS USING INVERSE METHOD
type: item
description: This study presents exact analytical solutions for the unsteady plane flow of an electrically conducting second-grade fluid within a rotating frame, permeating a porous medium under the action of a magnetic field. The analysis employs the inverse method, wherein suitable $a~ priori$ assumptions for the vorticity and stream function yield consistent forms of the velocity field and pressure distribution. Closed-form expressions for the governing flow variables are derived, ensuring compliance with both the fundamental equations and physical constraints. The influence of critical parameters, such as rotational effects, magnetic field intensity, porous medium resistance, and non-Newtonian fluid characteristics, is examined in detail. Graphical illustrations highlight the role of these parameters in shaping the flow dynamics, offering deeper insight into the complex interplay between rotation, magnetohydrodynamic forces, and porous medium interactions.
subject: Research Article
  topic: section
subject: MHD
  topic: keywords
subject: porous medium
  topic: keywords
subject: inverse method
  topic: keywords
subject: exact solution
  topic: keywords
subject: stream function
  topic: keywords
subject: unsteady flow
  topic: keywords
subject: 76B75
  topic: subjects
subject: 76D55
  topic: subjects
subject: 76N25
  topic: subjects
creator: Birendra Kumar Vishwakarma
creator: Sayantan Sil
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 313
ending page: 348
doi: 10.56827/SEAJMMS.2025.2103.19

COMMUTATIVITY DEGREE AND GRAPHS RELATED TO CONJUGACY CLASSES OF SOME NON-ABELIAN GROUPS
type: item
description: Let $G$ be a finite group. The commutativity degree of $G$ is the probability that two randomly chosen elements of the group commute. This paper explores the commutativity degrees and the properties of graphs relating to conjugacy classes associated with various group and group products, focusing on dihedral, generalized quaternion, and symmetric groups. We find that the conjugacy class graph of $Q_{4n}\times Q_{4m}$ and $S_n \times S_m$ are connected and non-planar. Furthermore, we examine the generalized conjugacy class graphs of generalized dihedral and generalized quaternion group, providing insights into their graph structures and connectivity properties. Our findings highlight the intricate relationships between group elements, their conjugacy classes, and the resulting graph-theoretic representations.
subject: Research Article
  topic: section
subject: Conjugacy class graph
  topic: keywords
subject: generalized conjugacy class graph
  topic: keywords
subject: non-abelian group
  topic: keywords
subject: dihedral group
  topic: keywords
subject: generalized quaternion group
  topic: keywords
subject: symmetric group
  topic: keywords
subject: 05C10
  topic: subjects
subject: 05C25
  topic: subjects
creator: Chinmayee Kumar
creator: Kuntala Patra
creator: Yangertola
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 221
ending page: 238
doi: 10.56827/SEAJMMS.2025.2103.14

SOME PROPERTIES OF HARMONIC UNIVALENT FUNCTIONS USING Q-CALCULUS AND ERROR FUNCTION
type: item
description: This paper investigates a subclass of harmonic univalent functions using q-calculus and error functions. We determine the necessary condition for the complex valued harmonic, univalent and sense-preserving function $f$ to be the class of harmonic error functions. Further, the necessary and sufficient conditions for functions $f$ to be a member of the subfamily and its characterization, followed by extreme points of the class are determined. Additionally, we prove that the class is closed under convex combinations, indicating that linear combinations of functions within the class also belong to the class. These estimates illuminate the growth and deformation of functions within the unit disk. These findings enhance our understanding of the geometric and analytic properties of harmonic error functions and their significance in the field of geometric function theory.
subject: Research Article
  topic: section
subject: Harmonic function
  topic: keywords
subject: holomorphic function
  topic: keywords
subject: univalent function
  topic: keywords
subject: q-calculus
  topic: keywords
subject: convolution
  topic: keywords
subject: error function
  topic: keywords
creator: Trailokya Panigrahi
creator: Eureka Pattnayak
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 33
ending page: 46
doi: 10.56827/SEAJMMS.2025.2103.3

DEGREE-BASED TOPOLOGICAL INDICES IN RANDOM POLYGONAL AND SPIRO CHAINS
type: item
description: A topological descriptors is a numerical quantity associated with the chemical structures which play an essential role in the chemical graph theory. In this work, we state and prove the expected values of the degree- based topological indices and generalized $ ISI_{(\alpha, \beta)} $ index for the random $ l $-polygonal chain and random $ l $-polygonal spiro chain. Based on the results above, we present the average values of the $ TIs $ with respect to the set of all polygonal and spiro polygonal chains with $ n $ polygons. As applications, we apply the affiliated formulae to obtain the expected values of the $ TIs $ of some special polygonal chains and spiro polygonal chains. Furthermore, we present diverse representations of graph that highlights the correlations between expected mean of indices and structural parameters.
subject: Articles
  topic: section
subject: Topological indices
  topic: keywords
subject: Generalized ISI index
  topic: keywords
subject: Random polygonal chain
  topic: keywords
subject: Random polygonal spiro chain
  topic: keywords
subject: Expected value
  topic: keywords
subject: Average value
  topic: keywords
creator: Priyanka Agarwal
creator: A. Bharali
rights: Copyright (c) 2025 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2025-08-30
publication date: 2025-08-30
starting page: 01
ending page: 24
doi: 10.56827/SEAJMMS.2025.2102.1

MODIFIED TYPE-1 DIRICHLET AVERAGES OF THE THREE-PARAMETER MITTAG-LEFFLER FUNCTION THROUGH FRACTIONAL INTEGRALS AND SPECIAL FUNCTIONS
type: item
description: The classical power means of Hardy, Littlewood and Polya, which contains the harmonic mean, arithmetic mean and geometric mean, is generalized to the $Y$-mean and hypergeometric mean by Carlson. Carlson's hypergeometric mean is to average a function over a type-1 Dirichlet measure, and this term in the current literature is known as the Dirichlet average of that function. The present paper introduces a new Dirichlet average, associated with the modified type-1 Dirichlet measures called modified type-1 Dirichlet averages. This paper also investigates the modified type-1 Dirichlet averages of a three-parameter Mittag-Leffler type function, which is expressed using Riemann-Liouville integrals and hypergeometric functions with multiple variables.
subject: Research Article
  topic: section
subject: Dirichlet average
  topic: keywords
subject: generalized type-1 and type-2 Dirichlet models
  topic: keywords
subject: Mittag-Leffler functions
  topic: keywords
subject: Riemann-Liouville fractional integrals
  topic: keywords
subject: hyper-geometric functions of one and many variables
  topic: keywords
creator: Princy T.
creator: Nicy Sebastian
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 81
ending page: 98
doi: 10.56827/bckwcz43

$L(3, 2, 1)$-LABELING OF SOME CYCLE RELATED GRAPHS
type: item
description: Let $G=(V(G), E(G))$ be a connected graph. For $i,j,k\in \mathbb{N}$ with $i\geq j \geq k$, $L(i, j, k)$-labeling of graph $G$ is an integer labeling of the vertices of graph $G$ such that labels of adjacent vertices differ by at least $i$, labels of vertices at distance two differ by at least $j$ and labels of vertices at distance three differ by at least $k$. In this paper, we discuss $L(3, 2, 1)$-labeling for crown, arm crown, tadpole, and closed helm graphs.
subject: Research Article
  topic: section
subject: Graph Labeling
  topic: keywords
subject: Cycle Graph
  topic: keywords
subject: L(3,2,1)-Labeling
  topic: keywords
subject: 05C78
  topic: subjects
creator: C. M. Barasara
creator: A. R. Oza
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2025-12-30
publication date: 2025-12-30
starting page: 273
ending page: 294
doi: 10.56827/s1wy9b59

FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS
type: item
description: In this research article, by making use of S$\check{a}$l$\check{a}$gean differential operator, we introduce and investigate a new subclass of analytic and bi-univalent functions using the Horadam polynomial. We derive the coefficient estimate and obtain Fekete-Szeg\"{o} inequality for functions in this subclass.
subject: Research Article
  topic: section
subject: S$\check{a}$l$\check{a}$gean differential operator
  topic: keywords
subject: Horadam polynomials
  topic: keywords
subject: coefficient estimates
  topic: keywords
subject: Fekete-Szeg\"{o} inequality.
  topic: keywords
creator: S. Prathiba
creator: Thomas Rosy
creator: G. Murugusundaramoorthy
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 23
ending page: 32
doi: 10.56827/SEAJMMS.2025.2103.2

RESULTS ON UNIQUENESS OF CERTAIN TYPE OF NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING A VALUE
type: item
description: In the paper we discuss the distribution of uniqueness and its elements over the extended complex plane from different polynomials of view. We obtain a new result regarding the structure and position of uniqueness. This new result has immense application like classifying different expressions to be or not to be unique. The principle objective of the paper is to study the uniqueness of meromorphic functions when sharing a value with weight $l(\geq 0)$ and its nonlinear differential polynomials. We prove a result which significantly generalize the result of Waghamore and Maligi [Commun. Math. {\bf 28} (2020), 289-299] by considering the difference polynomials of the form $f^n(f -1)^mP[f]$ and citing two proper examples we have shown that the result is true only for a particular case. Finally we present the compact version of the same result as an improvement.
subject: Research Article
  topic: section
subject: Uniqueness
  topic: keywords
subject: Entire function
  topic: keywords
subject: difference-differential polynomial
  topic: keywords
creator: Biswajit Saha
creator: Subrata Pal
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 63
ending page: 80
doi: 10.56827/SEAJMMS.2025.2103.5

GENERALIZATIONS OF WEAKER FORMS OF OPEN MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND THEIR APPLICATIONS
type: item
description: In this paper, we study Fermatean fuzzy $Z$-open and Fermatean fuzzy $Z$-closed functions within the framework of Fermatean fuzzy topological spaces. We investigate several significant properties of these functions and examine their relationships. In addition, we present a real-life decision-making application based on an entropy measure for Fermatean fuzzy sets, illustrating their practical usefulness in real-world situations.
subject: Research Article
  topic: section
subject: Fermatean fuzzy $ Z $-open mappings
  topic: keywords
subject: Fermatean fuzzy $ Z $-closed mappings
  topic: keywords
subject: entropy measure
  topic: keywords
subject: 03E72
  topic: subjects
subject: 54A05
  topic: subjects
subject: 54A40
  topic: subjects
creator: D. Sobana
creator: P. Premalatha
creator: A. Swaminathan
creator: A. Vadivel
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-04-30
publication date: 2026-04-30
starting page: 249
ending page: 270
doi: 10.56827/SEAJMMS.2026.2201.17

$\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION
type: item
description: In this paper, we develop the concept of Pythagorean fuzzy nano (resp. $ \delta $, $ \delta \mathcal{P} $, $ \delta \mathcal{S} $, $ \delta \alpha $ $ \& $ $ \delta \beta $ or $ e^{*} $)-continuity in Pythagorean fuzzy nano topological spaces and specialize some of their basic properties with examples. Also, we discuss about properties and characterization of Pythagorean fuzzy irresolute maps and application of Multiple Criteria Decision Making (MCDM) techniques to the real-world problem using a proposed similarity measure in Pythagorean fuzzy nano topological spaces.
subject: Research Article
  topic: section
subject: $\mathcal{PF} \mathfrak{N} \delta Cts $
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Cts $
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta Irr$
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Irr$ and Zhang similarity measure
  topic: keywords
subject: 03E72
  topic: subjects
subject: 54A40
  topic: subjects
subject: 54C05
  topic: subjects
subject: 94D05
  topic: subjects
creator: Mohanarao Navuluri
creator: K. Shantha lakshmi
creator: P. Periyasamy
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 197
ending page: 220
doi: 10.56827/SEAJMMS.2025.2103.13

PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS
type: item
description: This paper determines the partition dimension of selected hexagonal graph structures, namely pericondensed benzenoid systems $R_n$, $B_n$, and hexagonal cactus chains $PC_n$, $OC_n$, and $MC_n$. Using combinatorial techniques, we obtain exact partition dimensions for these classes. Our findings provide valuable insights into their structural properties and have applications in areas such as molecular chemistry and computational biology.
subject: Research Article
  topic: section
subject: Pericondensed benzenoid system
  topic: keywords
subject: hexagonal catus chains
  topic: keywords
subject: partition resolving set
  topic: keywords
subject: partition dimension
  topic: keywords
subject: 05C12
  topic: subjects
subject: 05C90
  topic: subjects
subject: 05C15
  topic: subjects
subject: 05C62
  topic: subjects
creator: R. Nithya Raj
creator: Mana Donganont
creator: M. Chandrakala
creator: V. Govindan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 239
ending page: 256
doi: 10.56827/SEAJMMS.2025.2103.15