Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications

[EN] The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic phi-contraction mappings. With the help of these symmetric mappings, the characterization of completeness of metri...

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Autores: Goswami, Nilakshi, Roy, Raju, Mishra, Vishnu Narayan, Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
Formato: artículo
Fecha de publicación:2021
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:10251/181753
Acesso em linha:https://riunet.upv.es/handle/10251/181753
Access Level:acceso abierto
Palavra-chave:Common best proximity point
Cyclic phi-contraction
Partial metric space
MATEMATICA APLICADA
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spelling Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some ApplicationsGoswami, NilakshiRoy, RajuMishra, Vishnu NarayanSánchez Ruiz, Luis Manuel|||0000-0001-7559-6724Common best proximity pointCyclic phi-contractionPartial metric spaceMATEMATICA APLICADA[EN] The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic phi-contraction mappings. With the help of these symmetric mappings, the characterization of completeness of metric spaces given by Cobzas (2016) is extended here for partial metric spaces. The existence of a solution to the Fredholm integral equation is also obtained here via a fixed-point formulation for such mappings.MDPI AGDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialCentro de Investigación en Tecnologías GráficasRepositorio Institucional de la Universitat Politècnica de València Riunet20212021-06-21journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/181753reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1817532026-06-13T07:49:27Z
dc.title.none.fl_str_mv Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
title Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
spellingShingle Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
Goswami, Nilakshi
Common best proximity point
Cyclic phi-contraction
Partial metric space
MATEMATICA APLICADA
title_short Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
title_full Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
title_fullStr Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
title_full_unstemmed Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
title_sort Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications
dc.creator.none.fl_str_mv Goswami, Nilakshi
Roy, Raju
Mishra, Vishnu Narayan
Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author Goswami, Nilakshi
author_facet Goswami, Nilakshi
Roy, Raju
Mishra, Vishnu Narayan
Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author_role author
author2 Roy, Raju
Mishra, Vishnu Narayan
Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Centro de Investigación en Tecnologías Gráficas
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Common best proximity point
Cyclic phi-contraction
Partial metric space
MATEMATICA APLICADA
topic Common best proximity point
Cyclic phi-contraction
Partial metric space
MATEMATICA APLICADA
description [EN] The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic phi-contraction mappings. With the help of these symmetric mappings, the characterization of completeness of metric spaces given by Cobzas (2016) is extended here for partial metric spaces. The existence of a solution to the Fredholm integral equation is also obtained here via a fixed-point formulation for such mappings.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-06-21
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/10251/181753
url https://riunet.upv.es/handle/10251/181753
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 (by)
http://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
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
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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