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

Authors : Salvador ROMAGUERA BONİLLA

Pages : 347-359

Doi:10.53006/rna.1140743

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Publication Date : 2022-09-30

Article Type : Research Paper

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