Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

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dc.creatorKohlenbach, Ulrich
dc.creatorLeustean, Laurentiu
dc.date2007-07-11
dc.date2008-03-26
dc.date.accessioned2026-07-07T09:28:11Z
dc.date.available2026-07-07T09:28:11Z
dc.descriptionThis 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.
dc.descriptionto appear in Journal of the European Mathematical Society; minor revision
dc.identifierhttps://arxiv.org/abs/0707.1626
dc.identifierhttp://arxiv.org/abs/0707.1626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157361
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject47H10, 47H09, 03F10
dc.titleAsymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
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