Abstract
We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type. Thus, we extend
 the classical characterization of metric completeness due to Subrahmanyam as well as recent results in the literature on the characterization of
 quasi-metric completeness and fuzzy metric completeness, respectively. We also introduce and discuss contractions of Chatterjea-type in this asymmetric context.
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