Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition

Abstract

In this paper we prove coincidence and common fixed point theorems for two pairs of weakly compatible self maps in fuzzy metric space using a fuzzy analogue of the Meir-Keeler type contractive condition. Our results substantially extend, generalize, and improve a multitude of well known results of the form existing in the literature for metric as well as fuzzy metric spaces.