Uniform Continuity in Fuzzy Metric Spaces
Uniform Continuity in Fuzzy Metric Spaces
Summary: With the help of appropriate fuzzy notions of equinormality and Lebesgue property, several characterizations of those fuzzy metric spaces, in the sense of \textit{A. George} and \textit{P. Veeramani} [Fuzzy Sets Syst. 64, No. 3, 395-399 (1994; Zbl 0843.54014); ibid. 90, No. 3, 365-368 (1997; Zbl 0917.54010)], for which every real valued continuous function is uniformly continuous are obtained.
- University of Trieste Italy
Lebesgue fuzzy metric, Fuzzy topology, uniformly continuous function, 54A40, Metric spaces, metrizability, equinormality, 54E40, Fuzzy metric, Special maps on metric spaces, 54E35, equinormal fuzzy metric
Lebesgue fuzzy metric, Fuzzy topology, uniformly continuous function, 54A40, Metric spaces, metrizability, equinormality, 54E40, Fuzzy metric, Special maps on metric spaces, 54E35, equinormal fuzzy metric
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