COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES SATISFYING E.A. PROPERTY AND INTIMATE MAPPING
By
Sanjib Kumar Datta1 and Rakesh Sarkar2
1Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist.: Nadia, West Bengal, India-741235.
2Department of Mathematics, Gour Mahavidyalaya, P.O.: Mangalbari, Dist.: Malda, West Bengal, India-732142.
Email: sanjibdatta05@gmail.com, rakeshsarkar.malda@gmail.com
(Received: July 10, 2021; In format: March 19, 2023; Revised: March 20, 2023; Accepted: December 01, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53231
Abstract
In this paper we prove the common xed point theorems in complex valued metric spaces satisfying E.A. property and intimate mapping. Our result generalizes some recent results in the literature due to Azam et al.(2011) : Also we improve the results of Rajput & Singh(2014) satisfying E.A. property and Meena(2015) regarding intimate mapping. Some concepts have been taken from the results obtained by Choi et al.(2017) and Jebril et al.(2019) to improve our results. Also some examples are given to illustrate our obtained results.
2020 Mathematical Sciences Classication : 47H10; 54H25
Keywords and Phrases: Complex valued metric space, common xed point, E.A. property, intimate mapping, weakly compatible mapping.