From weierstrass to ky fan theorems and existence results on Optimization and Equilibrium Problems
Autor(a) principal: | |
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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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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 |
_version_ |
1750318017720352768 |