Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces

[EN] Fixed point theory in fuzzy metric spaces plays very important role in theory of nonlinear problems in applied science. In this paper, we prove an existence result of common fixed point of four nonlinear mappings satisfying a new type of contractive condition in a generalized fuzzy metric space...

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Detalhes bibliográficos
Autores: Suantai, Suthep, Cho, Yeol Je, Tiammee, Jukrapong
Tipo de documento: artigo
Data de publicação:2019
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/118954
Acesso em linha:https://riunet.upv.es/handle/10251/118954
Access Level:Acceso aberto
Palavra-chave:Common fixed point
Compatible mappings
Fuzzy metric spaces
Weak non-Achimedean fuzzy metric spaces
Fuzzy topology
Common limit
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spelling Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spacesSuantai, SuthepCho, Yeol JeTiammee, JukrapongCommon fixed pointCompatible mappingsFuzzy metric spacesWeak non-Achimedean fuzzy metric spacesFuzzy topologyCommon limit[EN] Fixed point theory in fuzzy metric spaces plays very important role in theory of nonlinear problems in applied science. In this paper, we prove an existence result of common fixed point of four nonlinear mappings satisfying a new type of contractive condition in a generalized fuzzy metric space, called weak non-Archimedean fuzzy metric space. Our main results can be applied to solve the existence of solutions of non-linear equations in fuzzy metric spaces. Some examples supporting our main theorem are also given. Our results improve and generalize some recent results contained in Vetro (2011)[16]to generalized contractive conditions under some suitable conditions and many known results in the literature.S. Suantai was partially supported by Chiang Mai University. Yeol Je Cho was supported by Basic Science Research Program through National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and future Planning (2014R1A2A2A01002100). J. Tiammee would like to thank the Thailand Research Fund and Office of the Higher Education Commission under Grant No. MRG6180050 for the financial support and Chiang Mai Rajabhat University.Universitat Politècnica de ValènciaChiang Mai UniversityNational Research Foundation of KoreaThailand Research FundOffice of the Higher Education Commission, TailandiaRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/118954reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNational Research Foundation Singapore https://doi.org/10.13039/501100001321 2014R1A2A2A01002100Office of the Higher Education Commission, Tailandia https://doi.org/10.13039/100012527 MRG6180050open 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:10251/1189542026-06-13T07:49:27Z
dc.title.none.fl_str_mv Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
title Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
spellingShingle Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
Suantai, Suthep
Common fixed point
Compatible mappings
Fuzzy metric spaces
Weak non-Achimedean fuzzy metric spaces
Fuzzy topology
Common limit
title_short Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
title_full Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
title_fullStr Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
title_full_unstemmed Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
title_sort Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
dc.creator.none.fl_str_mv Suantai, Suthep
Cho, Yeol Je
Tiammee, Jukrapong
author Suantai, Suthep
author_facet Suantai, Suthep
Cho, Yeol Je
Tiammee, Jukrapong
author_role author
author2 Cho, Yeol Je
Tiammee, Jukrapong
author2_role author
author
dc.contributor.none.fl_str_mv Chiang Mai University
National Research Foundation of Korea
Thailand Research Fund
Office of the Higher Education Commission, Tailandia
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Common fixed point
Compatible mappings
Fuzzy metric spaces
Weak non-Achimedean fuzzy metric spaces
Fuzzy topology
Common limit
topic Common fixed point
Compatible mappings
Fuzzy metric spaces
Weak non-Achimedean fuzzy metric spaces
Fuzzy topology
Common limit
description [EN] Fixed point theory in fuzzy metric spaces plays very important role in theory of nonlinear problems in applied science. In this paper, we prove an existence result of common fixed point of four nonlinear mappings satisfying a new type of contractive condition in a generalized fuzzy metric space, called weak non-Archimedean fuzzy metric space. Our main results can be applied to solve the existence of solutions of non-linear equations in fuzzy metric spaces. Some examples supporting our main theorem are also given. Our results improve and generalize some recent results contained in Vetro (2011)[16]to generalized contractive conditions under some suitable conditions and many known results in the literature.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-04-01
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/10251/118954
url https://riunet.upv.es/handle/10251/118954
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv National Research Foundation Singapore https://doi.org/10.13039/501100001321 2014R1A2A2A01002100
Office of the Higher Education Commission, Tailandia https://doi.org/10.13039/100012527 MRG6180050
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 15,300719

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