Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

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

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Functional Analysis, Logic, 47H10, 47H09, 03F10

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http://salesiana.dossiersoluciones.com/handle/123456789/157361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1626
 http://arxiv.org/abs/0707.1626

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arXiv