Fixed point results of fuzzy mappings with applications

Abstract

Jleli and Samet introduced the notion of F-metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of these generalized metric spaces. The aim of this article is to utilize F-metric space and establish some common α-fuzzy fixed point theorems for rational (β-ϕ)-contractive conditions. Our results extend, generalize and unify some well-known results in the literature. As application of our main result, we discuss the solution of fuzzy integrodifferential equations in the setting of a generalized Hukuhara derivative.

Keywords

• f-metric space
• α-fuzzy fixed point
• βf-admissible
• hukuhara derivative