Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces

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.

Keywords

• Fuzzy quasi-metric space
• Quasi-metric space
• Complete
• Fixed point
• Kannan contraction
• Chatterjea contraction

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