A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces

Abstract

In the present paper, we give a new approach to Caristi's fixed point<br />theorem on non-Archimedean fuzzy metric spaces. For this we define an<br />ordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonempty<br />set $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%<br />. Hence, we prove our result by considering the original Caristi's fixed<br />point theorem.