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Bregman strongly nonexpansive operators in reflexive Banach spaces

dc.creatorMartín Márquez, Victoriaes
dc.creatorReich, Simeones
dc.creatorSabach, Shohames
dc.date.accessioned2016-09-07T11:53:37Z
dc.date.available2016-09-07T11:53:37Z
dc.date.issued2013-04-15
dc.identifier.citationMartín Márquez, V., Reich, S. y Sabach, S. (2013). Bregman strongly nonexpansive operators in reflexive Banach spaces. Journal of Mathematical Analysis and Applications, 400 (2), 597-614.
dc.identifier.issn0022-247Xes
dc.identifier.urihttp://hdl.handle.net/11441/44797
dc.description.abstractWe present a detailed study of right and left Bregman strongly nonexpansive operators in reflexive Banach spaces. We analyze, in particular, compositions and convex combinations of such operators, and prove the convergence of the Picard iterative method for operators of these types. Finally, we use our results to approximate common zeroes of maximal monotone mappings and solutions to convex feasibility problems.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipIsrael Science Foundationes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 400 (2), 597-614.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBregman distancees
dc.subjectBregman strongly nonexpansive operatores
dc.subjectLegendre functiones
dc.subjectMonotone mappinges
dc.subjectNonexpansive operatores
dc.subjectReflexive Banach spacees
dc.subjectResolventes
dc.subjectTotally convex functiones
dc.titleBregman strongly nonexpansive operators in reflexive Banach spaceses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2009-10696-C02-01es
dc.relation.projectIDFQM-127es
dc.relation.projectID647/07es
dc.relation.publisherversionhttp://ac.els-cdn.com/S0022247X12009742/1-s2.0-S0022247X12009742-main.pdf?_tid=21ec3f96-74f1-11e6-9a32-00000aab0f26&acdnat=1473249148_1697875d6cd34699c04cff804841f2c9es
dc.identifier.doi10.1016/j.jmaa.2012.11.059es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent27 p.es
dc.journaltitleJournal of Mathematical Analysis and Applicationses
dc.publication.volumen400es
dc.publication.issue2es
dc.publication.initialPage597es
dc.publication.endPage614es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/44797

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