SOME COUPLED FIXED POINT RESULTS ON $N_p$-CONE METRIC SPACES OVER BANACH ALGEBRA

Authors

  • Jerolina Fernandez Department of Science, The Bhopal School of Social Sciences, Bhopal (M. P.), INDIA Author
  • Neeraj Malviya Department of Mathematics, Swami Vivekanand Government PG College (PMCOE), Raisen, (M. P.), INDIA Author
  • Sheela Department of Science, The Bhopal School of Social Sciences, Bhopal (M. P.), INDIA Author
  • Nizar Souayah Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 4545, SAUDI ARABIA Author
  • Zoran D. Mitrovi'c Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000, Banja Luka, BOSNIA AND HERZEGOVINA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2026.2201.12

Keywords:

$N_p$-cone metric spaces over Banach algebra, $c$-sequence, generalized Lipschitz map, coupled fixed points

Abstract

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.

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Published

30-04-2026

Issue

Vol. 22 No. 1 (2026): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article