Fixed Point Theorem on (F, ρ) Fuzzy Metric Space

Abstract

In this paper we prove that the fuzzy metric space (F, ρ) is a fuzzy complete metric space, (where F is the family of all fuzzy sets in general fuzzy numbers F_G and fuzzy points F_P and any numbers of intersection, union of fuzzy sets in F_G or F_P), then the proof of the fixed point theorem in the fuzzy metric space (F, ρ) is given as a main result.