Approximating common fixed point for family of multivalued mean nonexpansive mappings in hyperbolic spaces

Abstract

In this paper, we prove some fixed points properties and demiclosedness principle for multivalued mean nonexpansive mappings in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a common fixed point of multivalued mean nonexpansive mappings and establish some strong and 4-convergence theorems for such mappings in the frame work of uniformly convex hyperbolic spaces. Our results presented in this paper extend and generalize corresponding results in uniformly convex Banach spaces, CAT(0) spaces and many other results in this direction.