Firmly nonexpansive mappings in classes of geodesic spaces

Ariza Ruiz, David; Leustean, Laurentiu; López Acedo, Genaro

doi:10.1090/S0002-9947-2014-05968-0

Artículo

dc.creator	Ariza Ruiz, David	es
dc.creator	Leustean, Laurentiu	es
dc.creator	López Acedo, Genaro	es
dc.date.accessioned	2016-06-22T09:01:55Z
dc.date.available	2016-06-22T09:01:55Z
dc.date.issued	2014
dc.identifier.citation	Ariza Ruiz, D., Leustean, L. y López Acedo, G. (2014). Firmly nonexpansive mappings in classes of geodesic spaces. Transactions of the American Mathematical Society, 366 (8), 4299-4322.
dc.identifier.issn	0002-9947	es
dc.identifier.issn	1088-6850	es
dc.identifier.uri	http://hdl.handle.net/11441/42604
dc.description.abstract	Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a thorough study of fixed point theory and the asymptotic behaviour of Picard iterates of these mappings in different classes of geodesic spaces, such as (uniformly convex) W-hyperbolic spaces, Busemann spaces and CAT(0) spaces. Furthermore, we apply methods of proof mining to obtain effective rates of asymptotic regularity for the Picard iterations.	es
dc.description.sponsorship	Junta de Andalucía	es
dc.description.sponsorship	Romanian National Authority for Scientific Research	es
dc.description.sponsorship	Dirección General de Enseñanza Superior	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	American Mathematical Society	es
dc.relation.ispartof	Transactions of the American Mathematical Society, 366 (8), 4299-4322.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	firmly nonexpansive mappings	es
dc.subject	geodesic spaces	es
dc.subject	uniform convexity	es
dc.subject	Picard iterates	es
dc.subject	asymptotic regularity	es
dc.subject	∆-convergence	es
dc.subject	proof mining	es
dc.subject	effective bounds	es
dc.subject	minimization problems	es
dc.title	Firmly nonexpansive mappings in classes of geodesic spaces	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	FQM-3543	es
dc.relation.projectID	PN-II-ID-PCE-2011-3-0383	es
dc.relation.projectID	MTM2009-13997-C02-01	es
dc.relation.projectID	FQM-127	es
dc.relation.publisherversion	http://dx.doi.org/10.1090/S0002-9947-2014-05968-0
dc.identifier.doi	10.1090/S0002-9947-2014-05968-0	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	31 p.	es
dc.journaltitle	Transactions of the American Mathematical Society	es
dc.publication.volumen	366	es
dc.publication.issue	8	es
dc.publication.initialPage	4299	es
dc.publication.endPage	4322	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/42604

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