Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
JEREMIAH NKWEGU EZEORA, Chinedu Izuchukwu, Akindele Adebayo Mebawondu, Oluwatosin Temitope Mewomo · International journal of nonlinear analysis and applications · 2021
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.