Some coincidence points theorems for multi-valued F-weak contractions on complete metric space endowed with a graph

Phumin Sumalai, Poom Kumam, Chaowalit Panthong

Abstract

In this paper, we introduce the concepts of weak g-graph-preserving for multi-valued mappings and weak F -G-contractions in a metric space endowed with a directed graph. We establish some coincidence point theorems for this type of mappings in a complete metric space endowed with a directed graph. Examples illustrating our main results are also presented. Our results extend and generalize various known results in the literature.