An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
نویسندگان
چکیده
* Correspondence: arahim@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudia Arabia Full list of author information is available at the end of the article Abstract 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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One-step Implicit Algorithm for Two Finite Families of Nonexpansive Maps in Hyperbolic Spaces
We propose and analyze an algorithm for two finite families of nonexpansive maps on a hyperbolic space. Our results refine and generalize several recent and comparable results in uniformly convex Banach spaces as well as CAT (0) spaces.
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