A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces

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The paper introduces a proximal point algorithm for solving equilibrium problems on convex sets with quasimonotone bifunctions in Hilbert spaces using Bregman distances. Supposing appropriate hypothesis on the model, this paper proves that the sequence of points which are generated for the algorithm...

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Detalles Bibliográficos
Autores: Papa Quiroz, Erik A., Collantes S´anchez, Frank
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Lenguaje:español
OAI Identifier:oai:ojs.csi.unmsm:article/24335
Enlace del recurso:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335
Nivel de acceso:acceso abierto
Materia:Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
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spelling A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert SpacesAlgoritmo Proximal con Funciones de Bregman para Problemas de Equilibrio Cuasi-Mon´otono en Espacios de HilbertPapa Quiroz, Erik A.Collantes S´anchez, FrankPapa Quiroz, Erik A.Collantes S´anchez, FrankHilbert spacesequilibrium problemsquasimonotonicityBregman distancesproximal methodsHilbert spacesequilibrium problemsquasimonotonicityBregman distancesproximal methodsThe paper introduces a proximal point algorithm for solving equilibrium problems on convex sets with quasimonotone bifunctions in Hilbert spaces using Bregman distances. Supposing appropriate hypothesis on the model, this paper proves that the sequence of points which are generated for the algorithm converges weakly to certain solution point of the equlibrium problem.Introducimos un algoritmo proximal para resolver problemas de equilibrio definidos sobre conjuntos convexos cerrados donde la bifunción que define el problema tiene propiedades de cuasi-monotonicidad. Definiendo hipótesis apropiadas pero bien generales sobre el problema se prueba la convergencia débil para una solución del problema de equilibrio.Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas2022-12-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/2433510.15381/pesquimat.v25i2.24335Pesquimat; Vol. 25 No. 2 (2022); 32-43Pesquimat; Vol. 25 Núm. 2 (2022); 32-431609-84391560-912Xreponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335/19011Derechos de autor 2022 Erik A. Papa Quiroz, Frank Collantes S´anchezhttp://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:ojs.csi.unmsm:article/243352022-12-30T23:32:49Z
dc.title.none.fl_str_mv A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
Algoritmo Proximal con Funciones de Bregman para Problemas de Equilibrio Cuasi-Mon´otono en Espacios de Hilbert
title A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
spellingShingle A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
Papa Quiroz, Erik A.
Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
title_short A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
title_full A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
title_fullStr A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
title_full_unstemmed A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
title_sort A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
dc.creator.none.fl_str_mv Papa Quiroz, Erik A.
Collantes S´anchez, Frank
Papa Quiroz, Erik A.
Collantes S´anchez, Frank
author Papa Quiroz, Erik A.
author_facet Papa Quiroz, Erik A.
Collantes S´anchez, Frank
author_role author
author2 Collantes S´anchez, Frank
author2_role author
dc.subject.none.fl_str_mv Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
topic Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
Hilbert spaces
equilibrium problems
quasimonotonicity
Bregman distances
proximal methods
description The paper introduces a proximal point algorithm for solving equilibrium problems on convex sets with quasimonotone bifunctions in Hilbert spaces using Bregman distances. Supposing appropriate hypothesis on the model, this paper proves that the sequence of points which are generated for the algorithm converges weakly to certain solution point of the equlibrium problem.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335
10.15381/pesquimat.v25i2.24335
url https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335
identifier_str_mv 10.15381/pesquimat.v25i2.24335
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335/19011
dc.rights.none.fl_str_mv Derechos de autor 2022 Erik A. Papa Quiroz, Frank Collantes S´anchez
http://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Erik A. Papa Quiroz, Frank Collantes S´anchez
http://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
dc.source.none.fl_str_mv Pesquimat; Vol. 25 No. 2 (2022); 32-43
Pesquimat; Vol. 25 Núm. 2 (2022); 32-43
1609-8439
1560-912X
reponame:Revistas - Universidad Nacional Mayor de San Marcos
instname:Universidad Nacional Mayor de San Marcos
instacron:UNMSM
instname_str Universidad Nacional Mayor de San Marcos
instacron_str UNMSM
institution UNMSM
reponame_str Revistas - Universidad Nacional Mayor de San Marcos
collection Revistas - Universidad Nacional Mayor de San Marcos
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1795238281982509056
score 13.924177
A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
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