In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that using such contraction principle completeness of the generalized metric space can be characterized.

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