Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

Details Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

2007-07-11

arxiv.org/abs/0707.1626v2

Mathematics

Functional Analysis

to appear in Journal of the European Mathematical Society; minor revision

Scientific paper

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.

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