Fixed Point Theorems for Pseudo-Banach Contraction

Nifatamah Makaje, Areeyuth Sama-Ae, Aniruth Phon-On

Abstract

We establish the coincidence point and fixed point theorems for two new types of single-valued and multi-valued mappings in a complete metric space with a graph. These two maps are extended from the maps constructed by Khojasteh et al. It also extends some recent works on the extension of Banach contraction principle to metric spaces with a directed graph.