COMMON FIXED POINT THEOREMS FOR COMMUTATIVE, WEAKLY COMMUTATIVE AND
COMPATIBLE MAPPINGS IN MULTIPLICATIVE CONE METRIC SPACE
By
A. S. Saluja and Jyoti Jhade
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal – 462016, Madhya Pradesh, India
Email: drassaluja@gmail.com, jyotijhade9725@gmail.com - Corresponding author
(Received: August 10, 2022, In format: August 29, 2022; Accepted: September 23, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52211
Abstract
In this paper, we introduce the notions of commutative, weakly commutative, and compatible mappings in multiplicative cone metric space and prove common fixed point theorems for these mappings with multiplicative normal cone setting. Also, we give an example to show the validity of our results.
2020 Mathematical Sciences Classification: 54H25, 47H10.
Keywords and Phrases: multiplicative cone metric space, commutative, weakly commutative, compatible mappings, common fixed point.