Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces
[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type. Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as recent results in the literature on the characterization of quasi-metric completen...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/195662 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/195662 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fuzzy quasi-metric space Quasi-metric space Complete Fixed point Kannan contraction Chatterjea contraction |
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Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spacesRomaguera Bonilla, Salvador|||0000-0001-7857-6139Fuzzy quasi-metric spaceQuasi-metric spaceCompleteFixed pointKannan contractionChatterjea contraction[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type. Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as recent results in the literature on the characterization of quasi-metric completeness and fuzzy metric completeness, respectively. We also introduce and discuss contractions of Chatterjea-type in this asymmetric context.Erdal Karap&#305narInstituto Universitario de Matemática Pura y AplicadaRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-08-11journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/195662reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1956622026-06-13T07:49:27Z |
| dc.title.none.fl_str_mv |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| title |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| spellingShingle |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces Romaguera Bonilla, Salvador|||0000-0001-7857-6139 Fuzzy quasi-metric space Quasi-metric space Complete Fixed point Kannan contraction Chatterjea contraction |
| title_short |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| title_full |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| title_fullStr |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| title_full_unstemmed |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| title_sort |
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces |
| dc.creator.none.fl_str_mv |
Romaguera Bonilla, Salvador|||0000-0001-7857-6139 |
| author |
Romaguera Bonilla, Salvador|||0000-0001-7857-6139 |
| author_facet |
Romaguera Bonilla, Salvador|||0000-0001-7857-6139 |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Instituto Universitario de Matemática Pura y Aplicada Repositorio Institucional de la Universitat Politècnica de València Riunet |
| dc.subject.none.fl_str_mv |
Fuzzy quasi-metric space Quasi-metric space Complete Fixed point Kannan contraction Chatterjea contraction |
| topic |
Fuzzy quasi-metric space Quasi-metric space Complete Fixed point Kannan contraction Chatterjea contraction |
| description |
[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type. Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as recent results in the literature on the characterization of quasi-metric completeness and fuzzy metric completeness, respectively. We also introduce and discuss contractions of Chatterjea-type in this asymmetric context. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 2022-08-11 |
| 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/10251/195662 |
| url |
https://riunet.upv.es/handle/10251/195662 |
| 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 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Erdal Karap&#305 nar |
| publisher.none.fl_str_mv |
Erdal Karap&#305 nar |
| dc.source.none.fl_str_mv |
reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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1869407766586589184 |
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15,300724 |