On Fuzzy Fréchet Contractions Governed by Rational Expressions and Related Applications

Ahmed Ghanawi  Jasim

doi:10.6180/jase.202606_29(6).0008

On Fuzzy Fréchet Contractions Governed by Rational Expressions and Related Applications

Computer Science and Information Engineering

Ahmed Ghanawi JasimThis email address is being protected from spambots. You need JavaScript enabled to view it.

University of Thi-Qar, Faculty of Computer Science and Mathematics, Mathematics Department, Iraq

Received: May 17, 2025
Accepted: August 15, 2025
Publication Date: October 24, 2025

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202606_29(6).0008

Abstract. This work explores a specific category of contraction mappings characterized by rational- type within the framework of fuzzy Fréchet spaces(FFS). By utilizing the triangular inequality associated with fuzzy semi norms, we establish fixed point results relevant to these mappings. As an application, we analyze an integral operator formulated in the FFS setting and prove the existence and uniqueness of its solution. This study concludes with an integral-type example that illustrates the effectiveness of rational fuzzy Fréchet contractions in solving operator equations.

Keywords: Rational type fuzzy Fréchet-contraction; Fuzzy Fréchet space; Fixed point

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