Fixed point theorems for single valued α-ψ-mappings in fuzzy metric spaces

Abstract

This article is the forward result of α-admissible and (α,ψ)-contractive mappings in fuzzy metric spaces. We establish new theorem for such contractions to find fixed point in fuzzy metric space. Our Theorem is generalizations of some interesting outputs in metric spaces. Moreover, an example and application to ordinary differential equations are also elaborated to verify the result of the theorem.