%0 Journal Article
%T Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
%A Ulrich Kohlenbach
%A Laurentiu Leustean
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0707.1626v2