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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 22 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2026.2201.12
Author :
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)

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, $c$-sequence, generalized Lipschitz map, coupled fixed points.

A.M.S. subject classification

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

.....

Download PDF Click here to Subscribe now