w -Distances on Fuzzy Metric Spaces and Fixed Points

Salvador Romaguera
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Salvador Romaguera: Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain

Mathematics, 2020, vol. 8, issue 11, 1-9

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.

Keywords: fuzzy metric space; complete; w -distance; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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