w-Distances on Fuzzy Metric Spaces and Fixed Points

We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that is proved here. Our main result provides a fuzzy counterpart of a renowned characteri...

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Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 11; p. 1909
Main Author Romaguera, Salvador
Format Journal Article
LanguageEnglish
Published MDPI AG 01.11.2020
Subjects
complete
fixed point
fuzzy metric space
w-distance
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Summary:We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that is proved here. Our main result provides a fuzzy counterpart of a renowned characterization of complete metric spaces due to Suzuki and Takahashi.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8111909