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On a special nonlinear problem arising in the study of convex SIP problems

Bibliographic Details
Main Author: Kostyukova, O. I.
Publication Date: 2006
Other Authors: Tchemisova, T. V., Yermalinskaya, S. A.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/6230
Summary: We continue a study of convex problems of Semi-In¯nite Programming (SIP) started in [6, 7]. In the Implicit Optimality Criterion from [6], we formulated the optimality conditions for convex SIP problem in terms of such the conditions for a special Nonlinear Programming (NLP) problem. In the present paper, we study some speci¯c properties of this nonlinear problem and obtain e±cient optimality conditions for it. We show that in the case when the constraint function of the initial SIP problem is analytical, the optimality conditions take the form of criterion.
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spelling On a special nonlinear problem arising in the study of convex SIP problemsSemi-Infinite Programming (SIP)Nonlinear Programming (NLP)We continue a study of convex problems of Semi-In¯nite Programming (SIP) started in [6, 7]. In the Implicit Optimality Criterion from [6], we formulated the optimality conditions for convex SIP problem in terms of such the conditions for a special Nonlinear Programming (NLP) problem. In the present paper, we study some speci¯c properties of this nonlinear problem and obtain e±cient optimality conditions for it. We show that in the case when the constraint function of the initial SIP problem is analytical, the optimality conditions take the form of criterion.University of Aveiro2012-02-10T16:20:29Z2006-01-01T00:00:00Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6230engKostyukova, O. I.Tchemisova, T. V.Yermalinskaya, S. A.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:38:48Zoai:ria.ua.pt:10773/6230Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:41:41.018768Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv On a special nonlinear problem arising in the study of convex SIP problems
title On a special nonlinear problem arising in the study of convex SIP problems
spellingShingle On a special nonlinear problem arising in the study of convex SIP problems
Kostyukova, O. I.
Semi-Infinite Programming (SIP)
Nonlinear Programming (NLP)
title_short On a special nonlinear problem arising in the study of convex SIP problems
title_full On a special nonlinear problem arising in the study of convex SIP problems
title_fullStr On a special nonlinear problem arising in the study of convex SIP problems
title_full_unstemmed On a special nonlinear problem arising in the study of convex SIP problems
title_sort On a special nonlinear problem arising in the study of convex SIP problems
author Kostyukova, O. I.
author_facet Kostyukova, O. I.
Tchemisova, T. V.
Yermalinskaya, S. A.
author_role author
author2 Tchemisova, T. V.
Yermalinskaya, S. A.
author2_role author
author
dc.contributor.author.fl_str_mv Kostyukova, O. I.
Tchemisova, T. V.
Yermalinskaya, S. A.
dc.subject.por.fl_str_mv Semi-Infinite Programming (SIP)
Nonlinear Programming (NLP)
topic Semi-Infinite Programming (SIP)
Nonlinear Programming (NLP)
description We continue a study of convex problems of Semi-In¯nite Programming (SIP) started in [6, 7]. In the Implicit Optimality Criterion from [6], we formulated the optimality conditions for convex SIP problem in terms of such the conditions for a special Nonlinear Programming (NLP) problem. In the present paper, we study some speci¯c properties of this nonlinear problem and obtain e±cient optimality conditions for it. We show that in the case when the constraint function of the initial SIP problem is analytical, the optimality conditions take the form of criterion.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2006
2012-02-10T16:20:29Z
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/10773/6230
url http://hdl.handle.net/10773/6230
dc.language.iso.fl_str_mv eng
language eng
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 University of Aveiro
publisher.none.fl_str_mv University of Aveiro
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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