RFPTA Recent Articles

# Common fixed point results in metric spaces endowed with a graph-by Binayak S. Choudhury, Nikhilesh Metiya, Debashis Khatua

Abstract: In this paper we establish some common fixed point results for a pair of mappings in a metric space having the additional structure of a directed graph. The mappings are assumed to satisfy certain almost $G$-contractions without and with rational terms. Each of our results is illustrated with example. The approach here is a blending of analytic and graph theoretic methodologies.
Keywords: Metric space,  directed graph,  $G$-contraction and common fixed point.