Banach Fixed Point Theorem in Fuzzy Metric Spaces

In this paper, we study certain type of fuzzy metric spaces and then prove the completeness ofthis metric space, this metric space will be denoted by (F,ρ) where F is the family of all fuzzysubsets of the set of fuzzy numbers and ρ is the distance function. Then the statement and the proofof Banach fixed point theorem in the fuzzy metric space (F,ρ) is given as a main result.