Fuzzy quasi-metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2004 Spain Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 5, page 129 (issn: 1576-9402, eissn: 1989-4147,

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Authors: Gregori, Valentín; Romaguera, Salvador;

doi: 10.4995/agt.2004.2001

Fuzzy quasi-metric spaces

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Abstract

[EN] 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.

The authors acknowledge the support of Generalitat Valenciana, grant GRUPOS 03/027

Country

Spain

Related Organizations

Universitat Politècnica de València
Spain

Keywords

QA299.6-433, Fuzzy topology, Fuzzy quasi-metric space, Quasi-metric, Isometry, Isometry., Quasi-uniformity, Bi- complete, QA1-939, Mathematics, Analysis

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