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

Jerolina Fernandez; Neeraj Malviya; Sheela; Nizar Souayah; Zoran D. Mitrovi'{c}

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

Jerolina Fernandez Department of Science, The Bhopal School of Social Sciences, Bhopal (M. P.), INDIA

Neeraj Malviya Department of Mathematics, Swami Vivekanand Government PG College (PMCOE), Raisen, (M. P.), INDIA

Sheela Department of Science, The Bhopal School of Social Sciences, Bhopal (M. P.), INDIA

Nizar Souayah Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 4545, SAUDI ARABIA

Zoran D. Mitrovi'{c} Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000, Banja Luka, BOSNIA AND HERZEGOVINA

Volume 22, Issue 1 Pages 161-176 April 30, 2026 5 downloads

Article overview

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.

Keywords and Phrases

$N_p$-cone metric spaces over Banach algebra$c$-sequencegeneralized Lipschitz mapcoupled fixed points.

AMS Subject Classification

46B20, 46B40, 46J10, 54A05, 47H10.

Reference information

How to Cite

Jerolina Fernandez, Neeraj Malviya, Sheela, Nizar Souayah, Zoran D. Mitrovi'{c} (2026). SOME COUPLED FIXED POINT RESULTS ON $N_p$-CONE METRIC SPACES OVER BANACH ALGEBRA. South East Asian Journal of Mathematics and Mathematical Sciences, 22(1), 161-176.

Back to this issue