Common Fixed Points of Two G -Nonexpansive Mappings via a Faster Iteration Procedure

Abstract

In this work, we study the convergence of a new faster iteration in which two $G$ -nonexpansive mappings are involved in the setting of uniformly convex Banach spaces with a directed graph. Moreover, by constructing a numerical example, we show the fastness of our iteration procedure over other existing iteration procedures in the literature.