COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN MULTIPLICATIVE CONE METRIC SPACE 


By

A. S. Saluja and Jyoti Jhade 

Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, India-462016 

Email: drassaluja@gmail.com, jyotijhade9725@gmail.com - (Corresponding author) 

(Received: October 07, 2023; In format: November 10, 2023; Revised : April 01, 2024; Accepted: April 15, 2024) 


DOI: https://doi.org/10.58250/jnanabha.2024.54123 



Abstract

In this article, we first introduce the idea of weakly compatible mappings in multiplicative cone metric space and then prove some common fixed point theorems for two pairs of weakly compatible mappings that satisfy a contractive condition in multiplicative cone metric space with a multiplicative normal cone setting. Examples are also provided to support our findings. 


2020 Mathematical Sciences Classification: 54H25, 47H10. 

Keywords and Phrases: Multiplicative cone metric, common fixed points, weakly compatible mappings.  

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