Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

By Ulrich Kohlenbach, Laurentiu Leustean. 2007

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This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnoselski-Mann iterations of such mappings. The latter were found using methods from logic and the paper continues a case study in the general program of extracting effective data from prima-facie ineffective proofs in the fixed point theory of such mappings.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/7a4fe7cac73f17d22dece000e64a71534691a134