Document Type : Research Paper

Authors

• Jeremiah N‎. ‎Ezeora ¹
• Chinedu Izuchukwu ²
• Akindele A‎. ‎Mebawondu ²
• Oluwatosin Temitope Mewomo ³

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

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

• ‎Mean nonexpansive mappings
• uniformly convex hyperbolic spaces
• strong and $\bigtriangleup$-convergence theorem
• three step iteration