INTERPOLATIVE REICH-RUS-{\'C}IRI{\'C} TYPE CONTRACTION ON PARTIAL FUZZY METRIC SPACE

Authors

  • Jaynendra Shrivas Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA Author
  • Rohit Kumar Verma Department of Mathematics, Govt. Chandulal Chandrakar Arts and Science College, Patan, Durg - 491111, Chhattisgarh, INDIA Author
  • Kuleshwari Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA Author
  • Prachi Singh Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA Author

DOI:

https://doi.org/10.56827/cycemp98

Keywords:

Fuzzy metric space, interpolative Reich-Rus-{\'C}iri{\'c} contraction, partial fuzzy metric space, fixed point

Abstract

In this paper, we introduce fuzzy interpolative Reich--Rus--{\'C}iri{\'c} type contractions in fuzzy and partial fuzzy metric spaces. We establish existence and uniqueness results for fixed points under suitable interpolative contractive conditions. The obtained results generalize several known fixed point theorems in the literature. Illustrative examples are provided to support the applicability of the main results.

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Published

12-10-2026

Issue

Vol. 22 No. 2 (2026): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article