An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces

Abdul Rahim Khan, Hafiz Fukhar-ud-din, Muhammad Aqeel Ahmad Khan · Fixed Point Theory and Applications · 2012

In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning Δ-convergence as well as strong convergence of the proposed algorithm are proved. Our results are refinement and generalization of several recent results in CAT(0) spaces and uniformly convex Banach spaces. Mathematics Subject Classification (2010): Primary: 47H09; 47H10; Secondary: 49M05.

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