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

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

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Volume 13, Issue 2
July 2022
Pages 459-471
  • Receive Date: 12 November 2020
  • Accept Date: 22 December 2020