Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings

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dc.creatorLeustean, Laurentiu
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:34:59Z
dc.date.available2026-07-07T08:34:59Z
dc.descriptionIn this paper we obtain new effective results on the Halpern iterations of nonexpansive mappings using methods from mathematical logic or, more specifically, proof-theoretic techniques. We give effective rates of asymptotic regularity for the Halpern iterations of nonexpansive self-mappings of nonempty convex sets in normed spaces. The paper presents another case study in the project of {\em proof mining}, which is concerned with the extraction of effective uniform bounds from (prima-facie) ineffective proofs.
dc.descriptionin C.S. Calude, G. Stefanescu, and M. Zimand (eds.), Combinatorics and Related Areas. A Collection of Papers in Honour of the 65th Birthday of Ioan Tomescu
dc.identifierhttps://arxiv.org/abs/0710.1692
dc.identifierhttp://arxiv.org/abs/0710.1692
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139624
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject47H10, 47H09, 03F10
dc.titleRates of asymptotic regularity for Halpern iterations of nonexpansive mappings
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