An equivalence of results in C*-algebra valued b-metric and b-metric spaces

[EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point results but also topological properties inC∗-algebra-valuedb-metric spaces may...

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Detalles Bibliográficos
Autores: Dung, Nguyen Van, Le Hang, Vo Thi, Dolicanin-Djekic, Diana
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/89581
Acceso en línea:https://riunet.upv.es/handle/10251/89581
Access Level:acceso abierto
Palabra clave:Metric
b-metric
C∗-algebra-valued metric
C∗-algebra-valued b-metric
Fixed point
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spelling An equivalence of results in C*-algebra valued b-metric and b-metric spacesDung, Nguyen VanLe Hang, Vo ThiDolicanin-Djekic, DianaMetricb-metricC∗-algebra-valued metricC∗-algebra-valued b-metricFixed point[EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point results but also topological properties inC∗-algebra-valuedb-metric spaces may be deduced from certain results inb-metricspaces. In particular, everyC∗-algebra-valuedb-metric space is metriz-able.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-10-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/89581reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/895812026-06-13T07:49:27Z
dc.title.none.fl_str_mv An equivalence of results in C*-algebra valued b-metric and b-metric spaces
title An equivalence of results in C*-algebra valued b-metric and b-metric spaces
spellingShingle An equivalence of results in C*-algebra valued b-metric and b-metric spaces
Dung, Nguyen Van
Metric
b-metric
C∗-algebra-valued metric
C∗-algebra-valued b-metric
Fixed point
title_short An equivalence of results in C*-algebra valued b-metric and b-metric spaces
title_full An equivalence of results in C*-algebra valued b-metric and b-metric spaces
title_fullStr An equivalence of results in C*-algebra valued b-metric and b-metric spaces
title_full_unstemmed An equivalence of results in C*-algebra valued b-metric and b-metric spaces
title_sort An equivalence of results in C*-algebra valued b-metric and b-metric spaces
dc.creator.none.fl_str_mv Dung, Nguyen Van
Le Hang, Vo Thi
Dolicanin-Djekic, Diana
author Dung, Nguyen Van
author_facet Dung, Nguyen Van
Le Hang, Vo Thi
Dolicanin-Djekic, Diana
author_role author
author2 Le Hang, Vo Thi
Dolicanin-Djekic, Diana
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Metric
b-metric
C∗-algebra-valued metric
C∗-algebra-valued b-metric
Fixed point
topic Metric
b-metric
C∗-algebra-valued metric
C∗-algebra-valued b-metric
Fixed point
description [EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point results but also topological properties inC∗-algebra-valuedb-metric spaces may be deduced from certain results inb-metricspaces. In particular, everyC∗-algebra-valuedb-metric space is metriz-able.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-10-02
dc.type.none.fl_str_mv journal 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://riunet.upv.es/handle/10251/89581
url https://riunet.upv.es/handle/10251/89581
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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