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w -Distances on Fuzzy Metric Spaces and Fixed Points

Author

Listed:
  • Salvador Romaguera

    (Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain)

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.

Suggested Citation

  • Salvador Romaguera, 2020. "w -Distances on Fuzzy Metric Spaces and Fixed Points," Mathematics, MDPI, vol. 8(11), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1909-:d:438397
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    Cited by:

    1. Salvador Romaguera & Pedro Tirado, 2024. "Presymmetric w -Distances on Metric Spaces," Mathematics, MDPI, vol. 12(2), pages 1-11, January.

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