Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap

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Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a new class of quasiconvex problems having zero duality gap or cl...

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Detalles Bibliográficos
Autores: Flores-Bazan, Fabian, Echegaray, William, Flores-Bazan, Fernando, Ocana, Eladio
Formato: artículo
Fecha de Publicación:2017
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/2872
Enlace del recurso:https://hdl.handle.net/20.500.12390/2872
https://doi.org/10.1007/s10898-017-0542-9
Nivel de acceso:acceso abierto
Materia:Management Science and Operations Research
Applied Mathematics
Control and Optimization
Computer Science Applications
http://purl.org/pe-repo/ocde/ford#1.01.02
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network_acronym_str CONC
network_name_str CONCYTEC-Institucional
repository_id_str 4689
dc.title.none.fl_str_mv Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
title Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
spellingShingle Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
Flores-Bazan, Fabian
Management Science and Operations Research
Applied Mathematics
Control and Optimization
Computer Science Applications
http://purl.org/pe-repo/ocde/ford#1.01.02
title_short Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
title_full Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
title_fullStr Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
title_full_unstemmed Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
title_sort Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
author Flores-Bazan, Fabian
author_facet Flores-Bazan, Fabian
Echegaray, William
Flores-Bazan, Fernando
Ocana, Eladio
author_role author
author2 Echegaray, William
Flores-Bazan, Fernando
Ocana, Eladio
author2_role author
author
author
dc.contributor.author.fl_str_mv Flores-Bazan, Fabian
Echegaray, William
Flores-Bazan, Fernando
Ocana, Eladio
dc.subject.none.fl_str_mv Management Science and Operations Research
topic Management Science and Operations Research
Applied Mathematics
Control and Optimization
Computer Science Applications
http://purl.org/pe-repo/ocde/ford#1.01.02
dc.subject.es_PE.fl_str_mv Applied Mathematics
Control and Optimization
Computer Science Applications
dc.subject.ocde.none.fl_str_mv http://purl.org/pe-repo/ocde/ford#1.01.02
description Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a new class of quasiconvex problems having zero duality gap or closedness of images of vector mappings associated to those problems. Such conditions are described for the classes of linear fractional functions and that of quadratic ones. In addition, some applications to nonconvex quadratic optimization problems under a single inequality or equality constraint, are presented, providing new results for the fulfillment of zero duality gap or dual strong-duality.
publishDate 2017
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 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/2872
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s10898-017-0542-9
url https://hdl.handle.net/20.500.12390/2872
https://doi.org/10.1007/s10898-017-0542-9
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv JOURNAL OF GLOBAL OPTIMIZATION
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Science and Business Media LLC
publisher.none.fl_str_mv Springer Science and Business Media LLC
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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spelling Publicationrp07970600rp07971600rp07972600rp07973600Flores-Bazan, FabianEchegaray, WilliamFlores-Bazan, FernandoOcana, Eladio2024-05-30T23:13:38Z2024-05-30T23:13:38Z2017https://hdl.handle.net/20.500.12390/2872https://doi.org/10.1007/s10898-017-0542-9Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a new class of quasiconvex problems having zero duality gap or closedness of images of vector mappings associated to those problems. Such conditions are described for the classes of linear fractional functions and that of quadratic ones. In addition, some applications to nonconvex quadratic optimization problems under a single inequality or equality constraint, are presented, providing new results for the fulfillment of zero duality gap or dual strong-duality.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengSpringer Science and Business Media LLCJOURNAL OF GLOBAL OPTIMIZATIONinfo:eu-repo/semantics/openAccessManagement Science and Operations ResearchApplied Mathematics-1Control and Optimization-1Computer Science Applications-1http://purl.org/pe-repo/ocde/ford#1.01.02-1Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gapinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#20.500.12390/2872oai:repositorio.concytec.gob.pe:20.500.12390/28722024-05-30 15:42:41.833http://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##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="d733c786-2489-457d-882d-21b6f01f8374"> <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>Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap</Title> <PublishedIn> <Publication> <Title>JOURNAL OF GLOBAL OPTIMIZATION</Title> </Publication> </PublishedIn> <PublicationDate>2017</PublicationDate> <DOI>https://doi.org/10.1007/s10898-017-0542-9</DOI> <Authors> <Author> <DisplayName>Flores-Bazan, Fabian</DisplayName> <Person id="rp07970" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Echegaray, William</DisplayName> <Person id="rp07971" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Flores-Bazan, Fernando</DisplayName> <Person id="rp07972" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Ocana, Eladio</DisplayName> <Person id="rp07973" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Springer Science and Business Media LLC</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Management Science and Operations Research</Keyword> <Keyword>Applied Mathematics</Keyword> <Keyword>Control and Optimization</Keyword> <Keyword>Computer Science Applications</Keyword> <Abstract>Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a new class of quasiconvex problems having zero duality gap or closedness of images of vector mappings associated to those problems. Such conditions are described for the classes of linear fractional functions and that of quadratic ones. In addition, some applications to nonconvex quadratic optimization problems under a single inequality or equality constraint, are presented, providing new results for the fulfillment of zero duality gap or dual strong-duality.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
score 13.918034
Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
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