Coincidence point theorems for KC-contraction mappings in JS-metric spaces endowed with a directed graph

Abstract

We introduce the class of KC-contraction mappings and prove some coincidence point theorems for these contractions in JS-metric spaces endowed with a directed graph. An illustrative example as well as an application to integral equations are also given in order to support our main theoretical results.

Common best proximity points of some graph-theoretical notions of dominating pairs

“…There have been many research articles dealing with this concept. The reader may be referred to [8,30,6,28,2,12,27,9], for example.…”