SOME FIXED POINT RESULTS FOR α-ψ-CONTRACTIVE TYPE MAPPINGS ON INTUITIONISTIC FUZZY METRIC SPACES

In 2012, Samet, Vetro and Vetro introduced the notion of α-ψ-contractive mappings. They established some fixed point results for the mappings on complete metric spaces. In this paper by using main idea of the work, we introduce the concept of α- ψ-contractive mappings on intuitionistic metric spaces and give some fixed point results about the mappings on complete intuitionistic metric spaces. Also, we give an application of our results about the existence of solution of a nonlinear fractional differential equation via a two-point boundary value condition.