Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces

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.
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