Fixed-Point Theorems in Fuzzy Metric Spaces

Banach's fixed point theorem gives a general criterion for the iteration procedure of a function to yield a fixed point. As a result, many researchers introduced several fixed point theorems for a given function under different conditions and spaces. The main objective of this study is to present and investigate two fixed point theorems related to two different contractive mappings in addition to some theoretical results concerning fuzzy metric spaces. We also explore heir relationship with nonfuzzy or crisp metric spaces. The fixed point theorems are based on the distance function between fuzzy points.