A convergence result for an outer approximation scheme

Detalhes bibliográficos
Autor(a) principal: Burachik,R.S.
Data de Publicação: 2003
Outros Autores: Lopes,J.O.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000300005
Resumo: In this work we study the variational inequality problem in finite dimensional spaces. The constraint set we consider has the structure of semi-infinite programming. Standard convergence analysis for outer approximation methods includes boundedness of the constraint set, or, alternatively, coerciveness of the data. Using recession tools, we are able to replace these assumptions by the hypotheses of boundedness of the solution set and that the domain of the operator contains the constraint set.
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spelling A convergence result for an outer approximation schememaximal monotone operatorsBanach spacesouter approximation algorithmsemi-infinite programsIn this work we study the variational inequality problem in finite dimensional spaces. The constraint set we consider has the structure of semi-infinite programming. Standard convergence analysis for outer approximation methods includes boundedness of the constraint set, or, alternatively, coerciveness of the data. Using recession tools, we are able to replace these assumptions by the hypotheses of boundedness of the solution set and that the domain of the operator contains the constraint set.Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000300005Computational & Applied Mathematics v.22 n.3 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052003000300005info:eu-repo/semantics/openAccessBurachik,R.S.Lopes,J.O.eng2004-07-20T00:00:00Zoai:scielo:S1807-03022003000300005Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-20T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A convergence result for an outer approximation scheme
title A convergence result for an outer approximation scheme
spellingShingle A convergence result for an outer approximation scheme
Burachik,R.S.
maximal monotone operators
Banach spaces
outer approximation algorithm
semi-infinite programs
title_short A convergence result for an outer approximation scheme
title_full A convergence result for an outer approximation scheme
title_fullStr A convergence result for an outer approximation scheme
title_full_unstemmed A convergence result for an outer approximation scheme
title_sort A convergence result for an outer approximation scheme
author Burachik,R.S.
author_facet Burachik,R.S.
Lopes,J.O.
author_role author
author2 Lopes,J.O.
author2_role author
dc.contributor.author.fl_str_mv Burachik,R.S.
Lopes,J.O.
dc.subject.por.fl_str_mv maximal monotone operators
Banach spaces
outer approximation algorithm
semi-infinite programs
topic maximal monotone operators
Banach spaces
outer approximation algorithm
semi-infinite programs
description In this work we study the variational inequality problem in finite dimensional spaces. The constraint set we consider has the structure of semi-infinite programming. Standard convergence analysis for outer approximation methods includes boundedness of the constraint set, or, alternatively, coerciveness of the data. Using recession tools, we are able to replace these assumptions by the hypotheses of boundedness of the solution set and that the domain of the operator contains the constraint set.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000300005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000300005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052003000300005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.22 n.3 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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