Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/18249 |
Resumo: | In the present paper, we analyze a class of convex Semi-Infinite Programming problems with arbitrary index sets defined by a finite number of nonlinear inequalities. The analysis is carried out by employing the constructive approach, which, in turn, relies on the notions of immobile indices and their immobility orders. Our previous work showcasing this approach includes a number of papers dealing with simpler cases of semi-infinite problems than the ones under consideration here. Key findings of the paper include the formulation and the proof of implicit and explicit optimality conditions under assumptions, which are less restrictive than the constraint qualifications traditionally used. In this perspective, the optimality conditions in question are also compared to those provided in the relevant literature. Finally, the way to formulate the obtained optimality conditions is demonstrated by applying the results of the paper to some special cases of the convex semi-infinite problems |
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Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index SetsConvex ProgrammingSemi-Infinite Programming (SIP)Nonlinear Programming (NLP)Convex setFinitely representable setConstraint Qualifications (CQ)Immobile indexOptimality conditionIn the present paper, we analyze a class of convex Semi-Infinite Programming problems with arbitrary index sets defined by a finite number of nonlinear inequalities. The analysis is carried out by employing the constructive approach, which, in turn, relies on the notions of immobile indices and their immobility orders. Our previous work showcasing this approach includes a number of papers dealing with simpler cases of semi-infinite problems than the ones under consideration here. Key findings of the paper include the formulation and the proof of implicit and explicit optimality conditions under assumptions, which are less restrictive than the constraint qualifications traditionally used. In this perspective, the optimality conditions in question are also compared to those provided in the relevant literature. Finally, the way to formulate the obtained optimality conditions is demonstrated by applying the results of the paper to some special cases of the convex semi-infinite problemsSpringer2017-08-29T10:43:41Z2017-07-26T00:00:00Z2017-07-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18249eng0022-323910.1007/s10957-017-1150-zKostyukova, O.Tchemisova, Tatianainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:34:39Zoai:ria.ua.pt:10773/18249Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:01.966595Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
title |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
spellingShingle |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets Kostyukova, O. Convex Programming Semi-Infinite Programming (SIP) Nonlinear Programming (NLP) Convex set Finitely representable set Constraint Qualifications (CQ) Immobile index Optimality condition |
title_short |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
title_full |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
title_fullStr |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
title_full_unstemmed |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
title_sort |
Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets |
author |
Kostyukova, O. |
author_facet |
Kostyukova, O. Tchemisova, Tatiana |
author_role |
author |
author2 |
Tchemisova, Tatiana |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Kostyukova, O. Tchemisova, Tatiana |
dc.subject.por.fl_str_mv |
Convex Programming Semi-Infinite Programming (SIP) Nonlinear Programming (NLP) Convex set Finitely representable set Constraint Qualifications (CQ) Immobile index Optimality condition |
topic |
Convex Programming Semi-Infinite Programming (SIP) Nonlinear Programming (NLP) Convex set Finitely representable set Constraint Qualifications (CQ) Immobile index Optimality condition |
description |
In the present paper, we analyze a class of convex Semi-Infinite Programming problems with arbitrary index sets defined by a finite number of nonlinear inequalities. The analysis is carried out by employing the constructive approach, which, in turn, relies on the notions of immobile indices and their immobility orders. Our previous work showcasing this approach includes a number of papers dealing with simpler cases of semi-infinite problems than the ones under consideration here. Key findings of the paper include the formulation and the proof of implicit and explicit optimality conditions under assumptions, which are less restrictive than the constraint qualifications traditionally used. In this perspective, the optimality conditions in question are also compared to those provided in the relevant literature. Finally, the way to formulate the obtained optimality conditions is demonstrated by applying the results of the paper to some special cases of the convex semi-infinite problems |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-08-29T10:43:41Z 2017-07-26T00:00:00Z 2017-07-26 |
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://hdl.handle.net/10773/18249 |
url |
http://hdl.handle.net/10773/18249 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0022-3239 10.1007/s10957-017-1150-z |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137581618692096 |