Fixed-Point Results for (<i>α</i>-<i>ψ</i>)-Fuzzy Contractive Mappings on Fuzzy Double-Controlled Metric Spaces

Abstract

We introduce the novel concept of (α-ψ)-fuzzy contractive mappings on fuzzy double-controlled metric spaces and demonstrate some fixed-point results. The theorems presented generalize some intriguing findings in the literature. Thus, we prove the fixed-point theorem in the settings of fuzzy double-controlled metric spaces. Furthermore, we provide several examples and an application of our result on the existence of the solution to an integral equation.

Keywords

• fixed point
• controlled fuzzy metric space
• (<i>α</i>-<i>ψ</i>)-contraction
• fuzzy metric space
• fuzzy double-controlled metric space
• α-admissible mapping