Right Bregman nonexpansive operators in Banach spaces

Martín Márquez, Victoria; Reich, Simeon; Sabach, Shoham

doi:10.1016/j.na.2012.04.048

Artículo

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

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