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 ^[1] ; Salleh, Zabidin ^[1] ; Dhananjay, Gopal ^[2]
  1. [1] Universiti Malaysia Terengganu

     Universiti Malaysia Terengganu

     Malasia

     
  2. [2] Guru Ghasidas Vishwavidyalaya
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 1, 2026
• Idioma: inglés
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• Resumen

  • 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.