A quadratic rate of asymptotic regularity for CAT(0)-spaces

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dc.creatorLeustean, Laurentiu
dc.date2005-11-01
dc.date.accessioned2026-07-07T06:50:36Z
dc.date.available2026-07-07T06:50:36Z
dc.descriptionIn this paper we obtain a quadratic bound on the rate of asymptotic regularity for the Krasnoselski-Mann iterations of nonexpansive mappings in CAT(0)-spaces, whereas previous results guarantee only exponential bounds. The method we use is to extend to the more general setting of uniformly convex hyperbolic spaces a quantitative version of a strengthening of Groetsch's theorem obtained by Kohlenbach using methods from mathematical logic (so-called ``proof mining'').
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0511019
dc.identifierhttp://arxiv.org/abs/math/0511019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104715
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject47H10, 47H09 (Primary) 03F10 (Secondary)
dc.titleA quadratic rate of asymptotic regularity for CAT(0)-spaces
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