Limits of maximal monotone operators driven by their representative functions

Descripción del Articulo

In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respec...

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Detalles Bibliográficos
Autores: Garcia, Y, Lassonde, M
Formato: artículo
Fecha de Publicación:2019
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/974
Enlace del recurso:https://hdl.handle.net/20.500.12390/974
https://doi.org/10.1007/s11590-018-1279-1
Nivel de acceso:acceso abierto
Materia:Representative function
Maximal monotone operator
Convex function
https://purl.org/pe-repo/ocde/ford#1.01.00
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spelling Publicationrp02277500rp02669600Garcia, YLassonde, M2024-05-30T23:13:38Z2024-05-30T23:13:38Z2019https://hdl.handle.net/20.500.12390/974https://doi.org/10.1007/s11590-018-1279-1463340000061In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengSpringer NatureOptimization Lettersinfo:eu-repo/semantics/openAccessRepresentative functionMaximal monotone operator-1Maximal monotone operator-1Convex function-1https://purl.org/pe-repo/ocde/ford#1.01.00-1Limits of maximal monotone operators driven by their representative functionsinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/974oai:repositorio.concytec.gob.pe:20.500.12390/9742024-05-30 15:45:32.691http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="31f05a7c-3230-4ce1-9ff2-5435dec1770a"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Limits of maximal monotone operators driven by their representative functions</Title> <PublishedIn> <Publication> <Title>Optimization Letters</Title> </Publication> </PublishedIn> <PublicationDate>2019</PublicationDate> <DOI>https://doi.org/10.1007/s11590-018-1279-1</DOI> <ISI-Number>463340000061</ISI-Number> <Authors> <Author> <DisplayName>Garcia, Y</DisplayName> <Person id="rp02277" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Lassonde, M</DisplayName> <Person id="rp02669" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Springer Nature</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Representative function</Keyword> <Keyword>Maximal monotone operator</Keyword> <Keyword>Maximal monotone operator</Keyword> <Keyword>Convex function</Keyword> <Abstract>In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Limits of maximal monotone operators driven by their representative functions
title Limits of maximal monotone operators driven by their representative functions
spellingShingle Limits of maximal monotone operators driven by their representative functions
Garcia, Y
Representative function
Maximal monotone operator
Maximal monotone operator
Convex function
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Limits of maximal monotone operators driven by their representative functions
title_full Limits of maximal monotone operators driven by their representative functions
title_fullStr Limits of maximal monotone operators driven by their representative functions
title_full_unstemmed Limits of maximal monotone operators driven by their representative functions
title_sort Limits of maximal monotone operators driven by their representative functions
author Garcia, Y
author_facet Garcia, Y
Lassonde, M
author_role author
author2 Lassonde, M
author2_role author
dc.contributor.author.fl_str_mv Garcia, Y
Lassonde, M
dc.subject.none.fl_str_mv Representative function
topic Representative function
Maximal monotone operator
Maximal monotone operator
Convex function
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.es_PE.fl_str_mv Maximal monotone operator
Maximal monotone operator
Convex function
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions.
publishDate 2019
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/974
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s11590-018-1279-1
dc.identifier.isi.none.fl_str_mv 463340000061
url https://hdl.handle.net/20.500.12390/974
https://doi.org/10.1007/s11590-018-1279-1
identifier_str_mv 463340000061
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Optimization Letters
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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score 13.949556
Limits of maximal monotone operators driven by their representative functions
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