Equilibrium Problems: Existence Results and Applications

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In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the...

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Detalles Bibliográficos
Autores: Cotrina J., García Y.
Formato: artículo
Fecha de Publicación:2018
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/864
Enlace del recurso:https://hdl.handle.net/20.500.12390/864
https://doi.org/10.1007/s11228-017-0451-6
Nivel de acceso:acceso abierto
Materia:Equilibrium problems
Convex feasibility problems
Generalized monotonicity
Generalized convexity
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spelling Publicationrp02278600rp02277600Cotrina J.García Y.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2018https://hdl.handle.net/20.500.12390/864https://doi.org/10.1007/s11228-017-0451-62-s2.0-85039854178In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium problems.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengSpringer NetherlandsSet-Valued and Variational Analysisinfo:eu-repo/semantics/openAccessEquilibrium problemsConvex feasibility problemsGeneralized monotonicityGeneralized convexityEquilibrium Problems: Existence Results and Applicationsinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/864oai:repositorio.concytec.gob.pe:20.500.12390/8642025-09-23 10:42:23.9http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="ef8555de-bcd2-41f3-8313-68f74f76f08f"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Equilibrium Problems: Existence Results and Applications</Title> <PublishedIn> <Publication> <Title>Set-Valued and Variational Analysis</Title> </Publication> </PublishedIn> <PublicationDate>2018</PublicationDate> <DOI>https://doi.org/10.1007/s11228-017-0451-6</DOI> <SCP-Number>2-s2.0-85039854178</SCP-Number> <Authors> <Author> <DisplayName>Cotrina J.</DisplayName> <Person id="rp02278" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>García Y.</DisplayName> <Person id="rp02277" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Springer Netherlands</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Equilibrium problems</Keyword> <Keyword>Convex feasibility problems</Keyword> <Keyword>Generalized monotonicity</Keyword> <Keyword>Generalized convexity</Keyword> <Abstract>In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium problems.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Equilibrium Problems: Existence Results and Applications
title Equilibrium Problems: Existence Results and Applications
spellingShingle Equilibrium Problems: Existence Results and Applications
Cotrina J.
Equilibrium problems
Convex feasibility problems
Generalized monotonicity
Generalized convexity
title_short Equilibrium Problems: Existence Results and Applications
title_full Equilibrium Problems: Existence Results and Applications
title_fullStr Equilibrium Problems: Existence Results and Applications
title_full_unstemmed Equilibrium Problems: Existence Results and Applications
title_sort Equilibrium Problems: Existence Results and Applications
author Cotrina J.
author_facet Cotrina J.
García Y.
author_role author
author2 García Y.
author2_role author
dc.contributor.author.fl_str_mv Cotrina J.
García Y.
dc.subject.en.fl_str_mv Equilibrium problems
Convex feasibility problems
Generalized monotonicity
Generalized convexity
topic Equilibrium problems
Convex feasibility problems
Generalized monotonicity
Generalized convexity
description In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium problems.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/864
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s11228-017-0451-6
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85039854178
url https://hdl.handle.net/20.500.12390/864
https://doi.org/10.1007/s11228-017-0451-6
identifier_str_mv 2-s2.0-85039854178
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Set-Valued and Variational Analysis
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Netherlands
publisher.none.fl_str_mv Springer Netherlands
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
_version_ 1844883046546800640
score 13.871882
Equilibrium Problems: Existence Results and Applications
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