New Notions of Proper Efficiency in Set Optimization with the Set Criterion

In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Fi...

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Detalles Bibliográficos
Autores: Jiménez, B., Novo, V., Huerga Pastor, Lidia
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/12545
Acceso en línea:https://hdl.handle.net/20.500.14468/12545
Access Level:acceso abierto
Palabra clave:Set optimization
Set criterion of solution
Vector criterion of solution
Henig proper efficiency
Lagrange multipliers
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spelling New Notions of Proper Efficiency in Set Optimization with the Set CriterionJiménez, B.Novo, V.Huerga Pastor, LidiaSet optimizationSet criterion of solutionVector criterion of solutionHenig proper efficiencyLagrange multipliersIn this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.Springer Naturee-Spacio UNED20242024-05-2020222022-09-1720222022-09-17journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14468/12545reponame:e-spacio. Repositorio Institucional de la UNEDinstname:Universidad Nacional de Educación a DistanciaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.esoai:e-spacio.uned.es:20.500.14468/125452026-06-06T12:38:31Z
dc.title.none.fl_str_mv New Notions of Proper Efficiency in Set Optimization with the Set Criterion
title New Notions of Proper Efficiency in Set Optimization with the Set Criterion
spellingShingle New Notions of Proper Efficiency in Set Optimization with the Set Criterion
Jiménez, B.
Set optimization
Set criterion of solution
Vector criterion of solution
Henig proper efficiency
Lagrange multipliers
title_short New Notions of Proper Efficiency in Set Optimization with the Set Criterion
title_full New Notions of Proper Efficiency in Set Optimization with the Set Criterion
title_fullStr New Notions of Proper Efficiency in Set Optimization with the Set Criterion
title_full_unstemmed New Notions of Proper Efficiency in Set Optimization with the Set Criterion
title_sort New Notions of Proper Efficiency in Set Optimization with the Set Criterion
dc.creator.none.fl_str_mv Jiménez, B.
Novo, V.
Huerga Pastor, Lidia
author Jiménez, B.
author_facet Jiménez, B.
Novo, V.
Huerga Pastor, Lidia
author_role author
author2 Novo, V.
Huerga Pastor, Lidia
author2_role author
author
dc.contributor.none.fl_str_mv e-Spacio UNED
dc.subject.none.fl_str_mv Set optimization
Set criterion of solution
Vector criterion of solution
Henig proper efficiency
Lagrange multipliers
topic Set optimization
Set criterion of solution
Vector criterion of solution
Henig proper efficiency
Lagrange multipliers
description In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-09-17
2022
2022-09-17
2024
2024-05-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14468/12545
url https://hdl.handle.net/20.500.14468/12545
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:e-spacio. Repositorio Institucional de la UNED
instname:Universidad Nacional de Educación a Distancia
instname_str Universidad Nacional de Educación a Distancia
reponame_str e-spacio. Repositorio Institucional de la UNED
collection e-spacio. Repositorio Institucional de la UNED
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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