Work

A Study of Fuzzy Fixed Points and Their Application to Fuzzy Fractional Differential Equations

Year: 2025

Type: article

Abstract: This study investigates fuzzy fixed points and fuzzy best proximity points for fuzzy mappings within the newly introduced framework θ-fuzzy metric spaces that extends various existing fuzzy metric spaces. We establish novel fixed-point and best proximity-point theorems for both single-valued and multivalued mappings, thereby broadening the scope of fuzzy analysis. Furthermerefore, we have for aore, we apply one of our key results to derive conditions, ensuring the existence and uniqueness of a solution to Hadamard Ψ-Caputo tempered fuzzy fractional differential equations, particularly in the context of the SIR dynamics model. These theoretical advancements are expected to open new avenues for research in fuzzy fixed-point theory and its applications to hybrid models within θ-fuzzy metric spaces.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9050270

Authors: Nawal Alharbi, Nawab Hussain

Institutions: Qassim University, King Abdulaziz University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Qassim University