Fixed point results in fuzzy metric spaces via α and β κ –admissible mappings with application to integral types

Abstract

In this paper, we introduce and prove some classes of fuzzy contractive mappings with altering distance function via α and β _κ –admissible mappings in the fuzzy metric spaces. We also give some example and graph which demonstrate the validity of the hypotheses of our main results. Our results improve and extend several previously known fixed point theorems of the existing literature. As an application to our main result a fixed point for contraction mappings of integral type in fuzzy metric spaces are presented.