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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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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Abstract 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.
AbstractList 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.
Author Romaguera, Salvador
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10.1186/1687-1812-2014-40
10.3390/math8091437
10.2307/2314587
10.1007/978-94-015-9540-7
10.12775/TMNA.1996.040
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10.1007/s00010-019-00673-6
10.2298/FIL1506217A
10.1006/jmaa.2000.7151
10.3390/math8020273
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SubjectTerms complete
fixed point
fuzzy metric space
w-distance
Title w-Distances on Fuzzy Metric Spaces and Fixed Points
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