From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems

Detalhes bibliográficos
Autor(a) principal: Sosa,Wilfredo
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Pesquisa operacional (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382013000200004
Resumo: In this work, we study coerciveness notions and their implications to existence conditions. We start with the presentation of classical ideas of coerciveness in the framework of Optimization Theory, and, then, using a classical technical result, introduced by Ky Fan in 1961, we extend these ideas first to Optimization Problems and then to Equilibrium Problems. We point out the importance of related conditions to the introduced coerciveness notion in order to obtain existence results for Equilibrium Problems, without using monotonicity or generalized monotonicity assumptions.
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spelling From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium ProblemsEquilibrium ProblemsRecession techniquesMinimization ProblemsIn this work, we study coerciveness notions and their implications to existence conditions. We start with the presentation of classical ideas of coerciveness in the framework of Optimization Theory, and, then, using a classical technical result, introduced by Ky Fan in 1961, we extend these ideas first to Optimization Problems and then to Equilibrium Problems. We point out the importance of related conditions to the introduced coerciveness notion in order to obtain existence results for Equilibrium Problems, without using monotonicity or generalized monotonicity assumptions.Sociedade Brasileira de Pesquisa Operacional2013-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382013000200004Pesquisa Operacional v.33 n.2 2013reponame:Pesquisa operacional (Online)instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)instacron:SOBRAPO10.1590/S0101-74382013005000003info:eu-repo/semantics/openAccessSosa,Wilfredoeng2015-07-28T00:00:00Zoai:scielo:S0101-74382013000200004Revistahttp://www.scielo.br/popehttps://old.scielo.br/oai/scielo-oai.php||sobrapo@sobrapo.org.br1678-51420101-7438opendoar:2015-07-28T00:00Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)false
dc.title.none.fl_str_mv From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
title From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
spellingShingle From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
Sosa,Wilfredo
Equilibrium Problems
Recession techniques
Minimization Problems
title_short From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
title_full From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
title_fullStr From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
title_full_unstemmed From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
title_sort From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
author Sosa,Wilfredo
author_facet Sosa,Wilfredo
author_role author
dc.contributor.author.fl_str_mv Sosa,Wilfredo
dc.subject.por.fl_str_mv Equilibrium Problems
Recession techniques
Minimization Problems
topic Equilibrium Problems
Recession techniques
Minimization Problems
description In this work, we study coerciveness notions and their implications to existence conditions. We start with the presentation of classical ideas of coerciveness in the framework of Optimization Theory, and, then, using a classical technical result, introduced by Ky Fan in 1961, we extend these ideas first to Optimization Problems and then to Equilibrium Problems. We point out the importance of related conditions to the introduced coerciveness notion in order to obtain existence results for Equilibrium Problems, without using monotonicity or generalized monotonicity assumptions.
publishDate 2013
dc.date.none.fl_str_mv 2013-08-01
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=S0101-74382013000200004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382013000200004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-74382013005000003
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 Pesquisa Operacional
publisher.none.fl_str_mv Sociedade Brasileira de Pesquisa Operacional
dc.source.none.fl_str_mv Pesquisa Operacional v.33 n.2 2013
reponame:Pesquisa operacional (Online)
instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
instacron:SOBRAPO
instname_str Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
instacron_str SOBRAPO
institution SOBRAPO
reponame_str Pesquisa operacional (Online)
collection Pesquisa operacional (Online)
repository.name.fl_str_mv Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
repository.mail.fl_str_mv ||sobrapo@sobrapo.org.br
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