On common fixed points of non-Lipschitzian semigroups in a hyperbolic metric space endowed with a graph

Abstract

In this paper, the existence theorem of a common fixed point for a semigroup of contraction mappings defined on a metric space endowed with a graph G has been proved. Also, the existence theorem of a common fixed point for a semigroup of G-nearly asymptotically nonexpansive mappings in a hyperbolic metric space endowed with a graph has been proved.