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 | |