Optimality conditions for nonlinear infinite programming problems

Detalhes bibliográficos
Autor(a) principal: de Oliveira, Valeriano A. [UNESP]
Data de Publicação: 2015
Outros Autores: dos Santos, Lucelina B., Osuna-Gómez, Rafaela, Rojas-Medar, Marko A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11590-014-0808-9
http://hdl.handle.net/11449/167936
Resumo: An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer.
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spelling Optimality conditions for nonlinear infinite programming problemsGeneralized convexityInfinite programmingNonlinear programmingSufficient conditionsAn infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer.Instituto de Biociências, Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua Cristóvão Colombo, N. 2265Departamento de Matemática, Universidade Federal do Paraná, Setor de Ciências Exatas, Centro Politécnico, CP 019081, Jd. das AméricasDepartamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, C/ Tarfia s/nGMA, Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Casilla 447Instituto de Biociências, Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua Cristóvão Colombo, N. 2265Universidade Estadual Paulista (Unesp)Universidade Federal do Paraná (UFPR)GMA, Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bíode Oliveira, Valeriano A. [UNESP]dos Santos, Lucelina B.Osuna-Gómez, RafaelaRojas-Medar, Marko A.2018-12-11T16:38:56Z2018-12-11T16:38:56Z2015-08-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1131-1147application/pdfhttp://dx.doi.org/10.1007/s11590-014-0808-9Optimization Letters, v. 9, n. 6, p. 1131-1147, 2015.1862-44801862-4472http://hdl.handle.net/11449/16793610.1007/s11590-014-0808-92-s2.0-849382942192-s2.0-84938294219.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengOptimization Letters0,7210,721info:eu-repo/semantics/openAccess2024-01-20T06:33:57Zoai:repositorio.unesp.br:11449/167936Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-20T06:33:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimality conditions for nonlinear infinite programming problems
title Optimality conditions for nonlinear infinite programming problems
spellingShingle Optimality conditions for nonlinear infinite programming problems
de Oliveira, Valeriano A. [UNESP]
Generalized convexity
Infinite programming
Nonlinear programming
Sufficient conditions
title_short Optimality conditions for nonlinear infinite programming problems
title_full Optimality conditions for nonlinear infinite programming problems
title_fullStr Optimality conditions for nonlinear infinite programming problems
title_full_unstemmed Optimality conditions for nonlinear infinite programming problems
title_sort Optimality conditions for nonlinear infinite programming problems
author de Oliveira, Valeriano A. [UNESP]
author_facet de Oliveira, Valeriano A. [UNESP]
dos Santos, Lucelina B.
Osuna-Gómez, Rafaela
Rojas-Medar, Marko A.
author_role author
author2 dos Santos, Lucelina B.
Osuna-Gómez, Rafaela
Rojas-Medar, Marko A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal do Paraná (UFPR)
GMA, Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío
dc.contributor.author.fl_str_mv de Oliveira, Valeriano A. [UNESP]
dos Santos, Lucelina B.
Osuna-Gómez, Rafaela
Rojas-Medar, Marko A.
dc.subject.por.fl_str_mv Generalized convexity
Infinite programming
Nonlinear programming
Sufficient conditions
topic Generalized convexity
Infinite programming
Nonlinear programming
Sufficient conditions
description An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer.
publishDate 2015
dc.date.none.fl_str_mv 2015-08-29
2018-12-11T16:38:56Z
2018-12-11T16:38:56Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s11590-014-0808-9
Optimization Letters, v. 9, n. 6, p. 1131-1147, 2015.
1862-4480
1862-4472
http://hdl.handle.net/11449/167936
10.1007/s11590-014-0808-9
2-s2.0-84938294219
2-s2.0-84938294219.pdf
url http://dx.doi.org/10.1007/s11590-014-0808-9
http://hdl.handle.net/11449/167936
identifier_str_mv Optimization Letters, v. 9, n. 6, p. 1131-1147, 2015.
1862-4480
1862-4472
10.1007/s11590-014-0808-9
2-s2.0-84938294219
2-s2.0-84938294219.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Optimization Letters
0,721
0,721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1131-1147
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1797790349418037248

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