Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory

Author(s):

Sushanta Kumar Mohanta* , Ratul Kar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The basic purpose of this article is to introduce the concept of R - λ - G-contraction by using R-functions, lower semi-continuous functions and digraphs and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying such contractions in the setting of metric spaces endowed with a graph. As some consequences of our results, we obtain several recent results in metric spaces and partial metric spaces.

Keywords:

R-function , Digraph , Lower semi-continuous function , Common fixed point

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 2, Nov 2023
Pages:
67 to 94
https://www.magiran.com/p2630319