A COMMON FIXED POINT THEOREM FOR FOUR LIMIT COINCIDENTLY COMMUTING SELFMAPS OF A S-METRIC SPACE
By
V. Kiran
Department of Mathematics, Osmania University, Hyderabad, Telangana, India-500007
Email: kiranmathou@gmail.com
(Received : May 19, 2022; In format: June 02, 2022; Revised: March 11, 2023; Accepted: March 16, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53122
Abstract
In this paper we prove a common fixed point theorem for four selfmaps of a S-metric space. Also we deduce a common fixed point theorem for four selfmaps of a complete S-metric space. Moreover we show that a common fixed point theorem for four selfmaps of a metric space proved by Brian Fisher follows as a particular case.
2020 Mathematical Sciences Classification: 47H10; 54H25.
Keywords and Phrases: S-metric space, Fixed point, Contractive modulus, Associated sequence for four selfmaps.