E'-convex sets and functions: properties and characterizations

The main properties of evenly convex sets and functions have been deeply studied by different authors, and a duality theory for evenly convex optimization problems has been well developed as well. In this theory, the notion of e-convexity appears as a necessary requirement for obtaining important re...

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Detalhes bibliográficos
Autores: Fajardo Gómez, Maria Dolores, Vidal Núñez, José|||0000-0002-1190-6700
Tipo de documento: artigo
Data de publicação:2020
País:España
Recursos:Universidad de Alcalá (UAH)
Repositório:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglês
OAI Identifier:oai:ebuah.uah.es:10017/68300
Acesso em linha:http://hdl.handle.net/10017/68300
https://dx.doi.org/10.1007/s10013-020-00414-2
Access Level:Acceso aberto
Palavra-chave:Generalized convex conjugation
Evenly convex set and function
E-convex set and function
Matemáticas
Mathematics
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spelling E'-convex sets and functions: properties and characterizationsFajardo Gómez, Maria DoloresVidal Núñez, José|||0000-0002-1190-6700Generalized convex conjugationEvenly convex set and functionE-convex set and functionMatemáticasMathematicsThe main properties of evenly convex sets and functions have been deeply studied by different authors, and a duality theory for evenly convex optimization problems has been well developed as well. In this theory, the notion of e-convexity appears as a necessary requirement for obtaining important results in strong and stable strong duality. This fact has motivated the authors to study possible properties of this kind of convexity in sets and functions, which is closely connected to even convexity.Springer Nature20202020-05-19journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/68300https://dx.doi.org/10.1007/s10013-020-00414-2reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)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:ebuah.uah.es:10017/683002026-06-18T11:13:07Z
dc.title.none.fl_str_mv E'-convex sets and functions: properties and characterizations
title E'-convex sets and functions: properties and characterizations
spellingShingle E'-convex sets and functions: properties and characterizations
Fajardo Gómez, Maria Dolores
Generalized convex conjugation
Evenly convex set and function
E-convex set and function
Matemáticas
Mathematics
title_short E'-convex sets and functions: properties and characterizations
title_full E'-convex sets and functions: properties and characterizations
title_fullStr E'-convex sets and functions: properties and characterizations
title_full_unstemmed E'-convex sets and functions: properties and characterizations
title_sort E'-convex sets and functions: properties and characterizations
dc.creator.none.fl_str_mv Fajardo Gómez, Maria Dolores
Vidal Núñez, José|||0000-0002-1190-6700
author Fajardo Gómez, Maria Dolores
author_facet Fajardo Gómez, Maria Dolores
Vidal Núñez, José|||0000-0002-1190-6700
author_role author
author2 Vidal Núñez, José|||0000-0002-1190-6700
author2_role author
dc.subject.none.fl_str_mv Generalized convex conjugation
Evenly convex set and function
E-convex set and function
Matemáticas
Mathematics
topic Generalized convex conjugation
Evenly convex set and function
E-convex set and function
Matemáticas
Mathematics
description The main properties of evenly convex sets and functions have been deeply studied by different authors, and a duality theory for evenly convex optimization problems has been well developed as well. In this theory, the notion of e-convexity appears as a necessary requirement for obtaining important results in strong and stable strong duality. This fact has motivated the authors to study possible properties of this kind of convexity in sets and functions, which is closely connected to even convexity.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-05-19
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/68300
https://dx.doi.org/10.1007/s10013-020-00414-2
url http://hdl.handle.net/10017/68300
https://dx.doi.org/10.1007/s10013-020-00414-2
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 Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
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