Some Suitable Metrics on Fuzzy Metric Spaces
نویسنده
چکیده
A fuzzy metric is a function of the form X×X 3 (p, q)→F Fpq ∈ ∆, where ∆ is the set of all distance distribution functions, and in many cases F generates a metrizable uniformity. Starting from this fundamental property, we present several metric-like functions determined by fuzzy metrics and we emphasize their role in getting and proving fixed point theorems for different types of contractions. There are identified large classes of t-norms and general formulae of (extended) metrics, which are seen to generalize the distances of M. Fréchet, P. Lévy and Ky Fan.
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