Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Functional Analysis
2008-03-26 v2 Logic
Abstract
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.
Cite
@article{arxiv.0707.1626,
title = {Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces},
author = {Ulrich Kohlenbach and Laurentiu Leustean},
journal= {arXiv preprint arXiv:0707.1626},
year = {2008}
}
Comments
to appear in Journal of the European Mathematical Society; minor revision