Fuzzy quasi-metric spaces

Valentín Gregori; Salvador Romaguera

doi:10.4995/agt.2004.2001

Authors

Valentín Gregori Universitat Politècnica de València
Salvador Romaguera Universitat Politècnica de València

DOI:

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

Keywords:

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

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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Author Biography

Salvador Romaguera, Universitat Politècnica de València

Departamento de Matemática Aplicada

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