On Bregman-type distances and their associated projection mappings

We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.

Detalhes bibliográficos
Autores: Martínez Legaz, Juan Enrique|||0000-0002-6845-6202, Tamadoni Jahromi, Maryam, Naraghirad, Eskandar
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:250636
Acesso em linha:https://ddd.uab.cat/record/250636
https://dx.doi.org/urn:doi:10.1007/s10957-021-01970-4
Access Level:acceso abierto
Palavra-chave:Bregman distance
Fixed point
Maximally monotone operator
Banach space
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spelling On Bregman-type distances and their associated projection mappingsMartínez Legaz, Juan Enrique|||0000-0002-6845-6202Tamadoni Jahromi, MaryamNaraghirad, EskandarBregman distanceFixed pointMaximally monotone operatorBanach spaceWe investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/250636https://dx.doi.org/urn:doi:10.1007/s10957-021-01970-4reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PGC2018-097960-B-C21open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2506362026-06-06T12:50:31Z
dc.title.none.fl_str_mv On Bregman-type distances and their associated projection mappings
title On Bregman-type distances and their associated projection mappings
spellingShingle On Bregman-type distances and their associated projection mappings
Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Bregman distance
Fixed point
Maximally monotone operator
Banach space
title_short On Bregman-type distances and their associated projection mappings
title_full On Bregman-type distances and their associated projection mappings
title_fullStr On Bregman-type distances and their associated projection mappings
title_full_unstemmed On Bregman-type distances and their associated projection mappings
title_sort On Bregman-type distances and their associated projection mappings
dc.creator.none.fl_str_mv Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Tamadoni Jahromi, Maryam
Naraghirad, Eskandar
author Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
author_facet Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Tamadoni Jahromi, Maryam
Naraghirad, Eskandar
author_role author
author2 Tamadoni Jahromi, Maryam
Naraghirad, Eskandar
author2_role author
author
dc.subject.none.fl_str_mv Bregman distance
Fixed point
Maximally monotone operator
Banach space
topic Bregman distance
Fixed point
Maximally monotone operator
Banach space
description We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/250636
https://dx.doi.org/urn:doi:10.1007/s10957-021-01970-4
url https://ddd.uab.cat/record/250636
https://dx.doi.org/urn:doi:10.1007/s10957-021-01970-4
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PGC2018-097960-B-C21
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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