w-Distances on Fuzzy Metric Spaces and Fixed Points
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Handle
https://riunet.upv.es/handle/10251/166921
Cita bibliográfica
Romaguera Bonilla, S. (2020). w-Distances on Fuzzy Metric Spaces and Fixed Points. Mathematics. 8(11):1-9. https://doi.org/10.3390/math8111909
Titulación
Resumen
[EN] 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.
Palabras clave
Fuzzy metric space, Complete, W-distance, Fixed point
ISSN
ISBN
Fuente
Mathematics
DOI
10.3390/math8111909