Common Fixed Point Theorems in Fuzzy Metric Space with Applications

Abstract

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type contractive conditions. Secondly we present application of main results to the system of functional equations. At the end we give an example in support of results of the paper.