Optimality and duality on Riemannian manifolds

Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for t...

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Detalhes bibliográficos
Autores: Ruíz-Garzón, Gabriel, Osuna-Gómez, Rafaela, Rufián-Lizana, Antonio, Hernández-Jiménez, Beatriz
Formato: artículo
Fecha de publicación:2018
País:España
Recursos:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/19469
Acesso em linha:https://hdl.handle.net/10433/19469
Access Level:acceso abierto
Palavra-chave:generalized convexity
Riemannian manifolds
efficient solutions
duality
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spelling Optimality and duality on Riemannian manifoldsRuíz-Garzón, GabrielOsuna-Gómez, RafaelaRufián-Lizana, AntonioHernández-Jiménez, Beatrizgeneralized convexityRiemannian manifoldsefficient solutionsdualityOur goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature. We also obtain duality results and give examples to illustrate it.Mathematical Society of the Rep. of China20242024-01-2520182018-10-0120182018-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10433/19469reponame:RIO. Repositorio Institucional Olavideinstname:Universidad Pablo de Olavide (UPO)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:rio.upo.es:10433/194692026-06-13T12:46:27Z
dc.title.none.fl_str_mv Optimality and duality on Riemannian manifolds
title Optimality and duality on Riemannian manifolds
spellingShingle Optimality and duality on Riemannian manifolds
Ruíz-Garzón, Gabriel
generalized convexity
Riemannian manifolds
efficient solutions
duality
title_short Optimality and duality on Riemannian manifolds
title_full Optimality and duality on Riemannian manifolds
title_fullStr Optimality and duality on Riemannian manifolds
title_full_unstemmed Optimality and duality on Riemannian manifolds
title_sort Optimality and duality on Riemannian manifolds
dc.creator.none.fl_str_mv Ruíz-Garzón, Gabriel
Osuna-Gómez, Rafaela
Rufián-Lizana, Antonio
Hernández-Jiménez, Beatriz
author Ruíz-Garzón, Gabriel
author_facet Ruíz-Garzón, Gabriel
Osuna-Gómez, Rafaela
Rufián-Lizana, Antonio
Hernández-Jiménez, Beatriz
author_role author
author2 Osuna-Gómez, Rafaela
Rufián-Lizana, Antonio
Hernández-Jiménez, Beatriz
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv generalized convexity
Riemannian manifolds
efficient solutions
duality
topic generalized convexity
Riemannian manifolds
efficient solutions
duality
description Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature. We also obtain duality results and give examples to illustrate it.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-10-01
2018
2018-10-01
2024
2024-01-25
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10433/19469
url https://hdl.handle.net/10433/19469
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
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Mathematical Society of the Rep. of China
publisher.none.fl_str_mv Mathematical Society of the Rep. of China
dc.source.none.fl_str_mv reponame:RIO. Repositorio Institucional Olavide
instname:Universidad Pablo de Olavide (UPO)
instname_str Universidad Pablo de Olavide (UPO)
reponame_str RIO. Repositorio Institucional Olavide
collection RIO. Repositorio Institucional Olavide
repository.name.fl_str_mv
repository.mail.fl_str_mv
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