dc.creator | Martín Márquez, Victoria | es |
dc.creator | Reich, Simeon | es |
dc.creator | Sabach, Shoham | es |
dc.date.accessioned | 2016-10-07T11:14:36Z | |
dc.date.available | 2016-10-07T11:14:36Z | |
dc.date.issued | 2012-09 | |
dc.identifier.citation | Martín Márquez, V., Reich, S. y Sabach, S. (2012). Right Bregman nonexpansive operators in Banach spaces. Nonlinear Analysis: Theory, Methods and Applications, 75 (14), 5448-5465. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/47199 | |
dc.description.abstract | We introduce and study new classes of Bregman nonexpansive operators
in reflexive Banach spaces. These classes of operators are associated with the Bregman distance induced by a convex function. In particular, we characterize sunny right quasi-Bregman nonexpansive retractions, and as a consequence we show that the fixed point set of any right quasi-Bregman nonexpansive operator is a sunny right quasi-Bregman nonexpansive retract of the ambient Banach space. | 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 VPR Fund | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods and Applications, 75 (14), 5448-5465. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Boltzmann-Shannon entropy | es |
dc.subject | Bregman distance | es |
dc.subject | Bregman firmly nonexpansive operator | es |
dc.subject | Fermi-Dirac entropy | es |
dc.subject | Legendre function | es |
dc.subject | Monotone mapping | es |
dc.subject | Nonexpansive operator | es |
dc.subject | Reflexive Banach space | es |
dc.subject | Resolvent | es |
dc.subject | Retraction | es |
dc.subject | T-monotone mapping | es |
dc.subject | Totally convex function | es |
dc.title | Right Bregman nonexpansive operators in Banach 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 | BFM2009-1096-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | 647/07 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0362546X12001836/1-s2.0-S0362546X12001836-main.pdf?_tid=a1e792dc-8c7e-11e6-8962-00000aacb361&acdnat=1475838799_aef7f227d812375b8f4df5ec2f787e84 | es |
dc.identifier.doi | 10.1016/j.na.2012.04.048 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 36 p. | es |
dc.journaltitle | Nonlinear Analysis: Theory, Methods and Applications | es |
dc.publication.volumen | 75 | es |
dc.publication.issue | 14 | es |
dc.publication.initialPage | 5448 | es |
dc.publication.endPage | 5465 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47199 | |