Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces

Document Type : Research Paper

Authors

1 Department of Mathematics and Statistics‎, ‎University of Port Harcourt‎, ‎Nigeria

2 School of Mathematics‎, ‎Statistics and Computer Science‎, ‎University of KwaZulu-Natal‎, ‎Durban‎, ‎South Africa‎

3 School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

10.22075/ijnaa.2021.4775

Abstract

In this paper‎, ‎we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces‎. ‎We further propose an iterative scheme for approximating a common fixed point of two mean nonexpansive mappings and establish some strong and $\bigtriangleup$-convergence theorems for these mappings in uniformly convex hyperbolic spaces‎. ‎The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces‎, ‎CAT(0) spaces and other related results in literature.

Keywords