Author/Authors :
Ezeora , Jeremiah N. Department of Mathematics and Statistics - University of Port Harcourt, Nigeria , Izuchukwu, Chinedu School of Mathematics, Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Mebawondu, Akindele A. School of Mathematics, Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Mewomo, Oluwatosin Temitope 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 △-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
