## Some fixed point theorems in fuzzy metric space.(English)Zbl 1155.54310

Summary: The present paper is aimed at obtaining some fixed point theorems in a fuzzy metric space by using the $$(\varepsilon,\delta)$$ contractive condition. For this purpose we first formulate and then employ an $$(\varepsilon,\delta)$$ contractive condition. Our results give proper generalizations of recent results due to Chugh and Kumar and Vasuki, fuzzify several well known fixed point theorems, and initiate the application of $$(\varepsilon,\delta)$$ technique for investigating fixed points of mappings in fuzzy metric spaces.

### MSC:

 54A40 Fuzzy topology 54H25 Fixed-point and coincidence theorems (topological aspects)