dc.creator | Martín Márquez, Victoria | es |
dc.creator | Reich, Simeon | es |
dc.creator | Sabach, Shoham | es |
dc.date.accessioned | 2016-10-07T10:52:48Z | |
dc.date.available | 2016-10-07T10:52:48Z | |
dc.date.issued | 2013-08 | |
dc.identifier.citation | Martín Márquez, V., Reich, S. y Sabach, S. (2013). Iterative methods for approximating fixed points of Bregman nonexpansive operators. Discrete and Continuous Dynamical Systems - Series S, 6 (4), 1043-1063. | |
dc.identifier.issn | 1937-1632 | es |
dc.identifier.issn | 1937-1179 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47191 | |
dc.description.abstract | Diverse notions of nonexpansive type operators have been extended to the
more general framework of Bregman distances in reflexive Banach spaces. We study these classes of operators, mainly with respect to the existence and approximation of their (asymptotic) fixed points. In particular, the asymptotic behavior of Picard and Mann type iterations is discussed for quasi-Bregman nonexpansive operators. We also present parallel algorithms for approximating common fixed points of a finite family of Bregman strongly nonexpansive operators by means of a block operator which preserves the Bregman strong nonexpansivity. All the results hold, in particular, for the smaller class of Bregman firmly nonexpansive operators, a class which contains the generalized resolvents of monotone mappings with respect to the Bregman distance. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Israel Science Foundation | es |
dc.description.sponsorship | Graduate School of the Technion | es |
dc.description.sponsorship | Fund for the Promotion of Research at the Technion | es |
dc.description.sponsorship | Technion President’s Research Fund | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series S, 6 (4), 1043-1063. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach space | es |
dc.subject | Bregman distance | es |
dc.subject | Bregman firmly nonexpansive operator | es |
dc.subject | Bregman strongly nonexpansive operator | es |
dc.subject | Bregman projection | es |
dc.subject | Fixed point | es |
dc.subject | Iterative algorithm | es |
dc.subject | Legendre function | es |
dc.subject | Totally convex function | es |
dc.title | Iterative methods for approximating fixed points of Bregman nonexpansive operators | 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 | MTM2009-13997-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | 647/07 | es |
dc.relation.publisherversion | https://www.aimsciences.org/journals/pdfs.jsp?paperID=8100&mode=full | es |
dc.identifier.doi | 10.3934/dcdss.2013.6.1043 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 30 p. | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems - Series S | es |
dc.publication.volumen | 6 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1043 | es |
dc.publication.endPage | 1063 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47191 | |