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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Detalles Bibliográficos
Autores: Wong, Koon Sang, Salleh, Zabidin, Dhananjay, Gopal
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::2e7c30ddb4fcd09d4f96bb48f85674ca
Acceso en línea:https://riunet.upv.es/handle/10251/235027
Access Level:acceso abierto
Palabra clave:Fixed point
Graphical fuzzy metric space
Fuzzy graphical ψ-contraction
Nonlinear fractional differential equation
Directed graph
Descripción
Sumario:[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.