Fuzzy quasi-metric spaces

Valentín Gregori

Spain

Universitat Politècnica de València

Salvador Romaguera

Spain

Universitat Politècnica de València

Departamento de Matemática Aplicada
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Accepted: 2013-12-02

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DOI: https://doi.org/10.4995/agt.2004.2001
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Keywords:

Fuzzy quasi-metric space, Quasi-metric, Quasi-uniformity, Bi-complete, Isometry

Supporting agencies:

Generalitat Valenciana

grant GRUPOS 03/027

Abstract:

We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi-metrizable topology. Other basic properties are discussed.
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