Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models

[EN] Within graphical fuzzy metric spaces, the present study addresses a formulation for fuzzy graphical ψ-contractions as a novel family of contractions. Various fixed point results pertaining to the proposed contractions are established, supported by illustrative examples. Additionally, a discussi...

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Autores: Wong, Koon Sang, Salleh, Zabidin, Dhananjay, Gopal
Tipo de documento: artigo
Data de publicação:2026
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:dnet:riunet______::2e7c30ddb4fcd09d4f96bb48f85674ca
Acesso em linha:https://riunet.upv.es/handle/10251/235027
Access Level:Acceso aberto
Palavra-chave:Fixed point
Graphical fuzzy metric space
Fuzzy graphical ψ-contraction
Nonlinear fractional differential equation
Directed graph
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spelling Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential modelsWong, Koon SangSalleh, ZabidinDhananjay, GopalFixed pointGraphical fuzzy metric spaceFuzzy graphical ψ-contractionNonlinear fractional differential equationDirected graph[EN] Within graphical fuzzy metric spaces, the present study addresses a formulation for fuzzy graphical ψ-contractions as a novel family of contractions. Various fixed point results pertaining to the proposed contractions are established, supported by illustrative examples. Additionally, a discussion of the obtained findings extend and refine existing fixed point theorems is provided. To demonstrate their applicability, the study includes an application on establishing solution attainability for fractional-order nonlinear differential equations.Financial support for this work was provided by Universiti Malaysia Terengganu via the Interdisciplinary Impact Driven Research Grant (ID$^2$RG) 2024, vote no. 55516.Universitat Politècnica de ValènciaUniversity of Malaysia, TerengganuRepositorio Institucional de la Universitat Politècnica de València Riunet20262026-05-07journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdftext/htmlhttps://riunet.upv.es/handle/10251/235027reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitiMalaysiaTerengganu UniversitiMalaysiaTerengganu ID2RG%2F55516 MYopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:dnet:riunet______::2e7c30ddb4fcd09d4f96bb48f85674ca2026-06-13T07:49:27Z
dc.title.none.fl_str_mv Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
title Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
spellingShingle Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
Wong, Koon Sang
Fixed point
Graphical fuzzy metric space
Fuzzy graphical ψ-contraction
Nonlinear fractional differential equation
Directed graph
title_short Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
title_full Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
title_fullStr Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
title_full_unstemmed Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
title_sort Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models
dc.creator.none.fl_str_mv Wong, Koon Sang
Salleh, Zabidin
Dhananjay, Gopal
author Wong, Koon Sang
author_facet Wong, Koon Sang
Salleh, Zabidin
Dhananjay, Gopal
author_role author
author2 Salleh, Zabidin
Dhananjay, Gopal
author2_role author
author
dc.contributor.none.fl_str_mv University of Malaysia, Terengganu
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Fixed point
Graphical fuzzy metric space
Fuzzy graphical ψ-contraction
Nonlinear fractional differential equation
Directed graph
topic Fixed point
Graphical fuzzy metric space
Fuzzy graphical ψ-contraction
Nonlinear fractional differential equation
Directed graph
description [EN] Within graphical fuzzy metric spaces, the present study addresses a formulation for fuzzy graphical ψ-contractions as a novel family of contractions. Various fixed point results pertaining to the proposed contractions are established, supported by illustrative examples. Additionally, a discussion of the obtained findings extend and refine existing fixed point theorems is provided. To demonstrate their applicability, the study includes an application on establishing solution attainability for fractional-order nonlinear differential equations.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-05-07
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/10251/235027
url https://riunet.upv.es/handle/10251/235027
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv UniversitiMalaysiaTerengganu UniversitiMalaysiaTerengganu ID2RG%2F55516 MY
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
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 15.198674

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