Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification

Detalhes bibliográficos
Autor(a) principal: do Monte, Moisés Rodrigues Cirilo [UNESP]
Data de Publicação: 2019
Outros Autores: de Oliveira, Valeriano Antunes [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/02331934.2019.1653294
http://hdl.handle.net/11449/189567
Resumo: In this paper, a Mangasarian–Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush–Kuhn–Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools.
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spelling Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification90C3090C46constraint qualificationsContinuous-time programmingMangasarian–Fromovitz conditionsnecessary conditionsIn this paper, a Mangasarian–Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush–Kuhn–Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools.Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada, Câmpus de São José do Rio PretoInstituto de Ciências Exatas e Naturais do Pontal Universidade Federal de Uberlândia (UFU), Câmpus de ItuiutabaUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada, Câmpus de São José do Rio PretoUniversidade Estadual Paulista (Unesp)Universidade Federal de Uberlândia (UFU)do Monte, Moisés Rodrigues Cirilo [UNESP]de Oliveira, Valeriano Antunes [UNESP]2019-10-06T16:44:51Z2019-10-06T16:44:51Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1080/02331934.2019.1653294Optimization.1029-49450233-1934http://hdl.handle.net/11449/18956710.1080/02331934.2019.16532942-s2.0-85071357665Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengOptimizationinfo:eu-repo/semantics/openAccess2021-10-22T18:33:47Zoai:repositorio.unesp.br:11449/189567Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:55:31.018497Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
title Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
spellingShingle Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
do Monte, Moisés Rodrigues Cirilo [UNESP]
90C30
90C46
constraint qualifications
Continuous-time programming
Mangasarian–Fromovitz conditions
necessary conditions
title_short Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
title_full Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
title_fullStr Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
title_full_unstemmed Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
title_sort Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
author do Monte, Moisés Rodrigues Cirilo [UNESP]
author_facet do Monte, Moisés Rodrigues Cirilo [UNESP]
de Oliveira, Valeriano Antunes [UNESP]
author_role author
author2 de Oliveira, Valeriano Antunes [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal de Uberlândia (UFU)
dc.contributor.author.fl_str_mv do Monte, Moisés Rodrigues Cirilo [UNESP]
de Oliveira, Valeriano Antunes [UNESP]
dc.subject.por.fl_str_mv 90C30
90C46
constraint qualifications
Continuous-time programming
Mangasarian–Fromovitz conditions
necessary conditions
topic 90C30
90C46
constraint qualifications
Continuous-time programming
Mangasarian–Fromovitz conditions
necessary conditions
description In this paper, a Mangasarian–Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush–Kuhn–Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T16:44:51Z
2019-10-06T16:44:51Z
2019-01-01
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/10.1080/02331934.2019.1653294
Optimization.
1029-4945
0233-1934
http://hdl.handle.net/11449/189567
10.1080/02331934.2019.1653294
2-s2.0-85071357665
url http://dx.doi.org/10.1080/02331934.2019.1653294
http://hdl.handle.net/11449/189567
identifier_str_mv Optimization.
1029-4945
0233-1934
10.1080/02331934.2019.1653294
2-s2.0-85071357665
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Optimization
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1808128721570234368

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