drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
Research Article

COMMON FIXED POINT THEOREMS IN BICOMPLEX VALUED METRIC SPACES UNDER BOTH RATIONAL TYPE CONTRACTION MAPPINGS SATISFYING E. A. PROPERTY AND INTIMATE MAPPINGS

S
S. K. Datta Department of Mathematics, University of Kalyani, Kalyani, Nadia - 741235, West Bengal, INDIA
R
R. Sarkar Department of Mathematics, Gour Mahavidyalaya, Mangalbari, Malda, West Bengal, INDIA
N
N. Biswas Department of Mathematics, Chakdaha College, Chakdaha, Nadia, West Bengal, INDIA
M
Mukul SK Department of Mathematics, University of Kalyani, Kalyani, Nadia - 741235, West Bengal, INDIA
Volume 17, Issue 1 Pages 347-360 April 30, 2021 285 downloads
Article overview

Abstract

The main purpose of this paper is to investigate some common fixed point theorems in bicomplex valued metric spaces under both rational type contraction mappings satisfying E. A. property and intimate mappings. Our results generalize some earlier results (Rajput \& Singh, 2014; Meena, 2015) and extend some existing theorems (Azam et al., 2011; Rouzkard \& Imdad, 2012) regarding common fixed point theorems in complex valued metric spaces. A few examples are provided to justify the results obtained and the course of future prospect of works as carried out is sketched in the paper. 

Keywords and Phrases

Bicomplex valued metric spacepoint of coincidenceE. A. propertycommon fixed pointintimate mapping.

AMS Subject Classification

47H09, 47H10, 46N99, 54H25.

Reference information

How to Cite

S. K. Datta, R. Sarkar, N. Biswas, Mukul SK (2021). COMMON FIXED POINT THEOREMS IN BICOMPLEX VALUED METRIC SPACES UNDER BOTH RATIONAL TYPE CONTRACTION MAPPINGS SATISFYING E. A. PROPERTY AND INTIMATE MAPPINGS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 347-360.
Back to this issue
Copied