Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces

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dc.creatorLeustean, Laurentiu
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:12:29Z
dc.date.available2026-07-07T10:12:29Z
dc.descriptionWe propose the class of uniformly convex $W$-hyperbolic spaces with monotone modulus of uniform convexity ($UCW$-hyperbolic spaces for short) as an appropriate setting for the study of nonexpansive iterations. $UCW$-hyperbolic spaces are a natural generalization both of uniformly convex normed spaces and CAT(0)-spaces. Furthermore, we apply proof mining techniques to get effective rates of asymptotic regularity for Ishikawa iterations of nonexpansive self-mappings of closed convex subsets in $UCW$-hyperbolic spaces. These effective results are new even for uniformly convex Banach spaces.
dc.identifierhttps://arxiv.org/abs/0810.4117
dc.identifierhttp://arxiv.org/abs/0810.4117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172199
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject47H10; 47H09; 03F10
dc.titleNonexpansive iterations in uniformly convex $W$-hyperbolic spaces
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