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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)
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