SOME RESULTS ON COUPLED FIXED POINT BY DARBO EXTENSION THEOREM
By
Deepak Rout1 and T. Som2
1DST-CIMS, Institute of science, Banaras Hindu University, Varanasi, Uttar Pradesh, India-221005
2Indian Institute Technology (Banaras Hindu University), Varanasi, Uttar Pradesh, India-221005
Email: deepak.gymmaster@gmail.com, tsom.apm@iitbhu.ac.in
(Received June 12, 2022: In Format; August 25, 2022; Revised: July 15, 2023;
Accepted: September 12, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53202
Abstract
This paper is based on extension of some basic results on coupled xed point using extended Kuratowski measure. In the rest part of the paper we have extended coupled xed point results on product Banach space by measure of non compactness denied in the paper of Banas (1980). The second part of the paper contains the results on existence of coupled fixed point based on generalized Theorem 3.2 of Samih et.al. (2016) to get coupled fixed point of set valued co set contraction map on complete metric type of space.
2020 Mathematical Sciences Classification: 47H09, 47H10, 54H25.
Keywords and Phrases: Coupled fixed point, Kuratowski measure, Integral contraction, b-Metric space.