Some Characterizations of Complete Hausdorff KM-Fuzzy Quasi-Metric Spaces

Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as natural asymmetric generalization concept fuzzy metric sense Kramosil Michalek. Ever since, various authors have discussed several aspects such spaces, including their topological (quasi-)metric properties well connections with domain theory relationship other structures. In particular, development fixed point for these spaces related ones, partial has received remarkable attention last 15 years. Continuing this line research, we here establish general theorems left right complete Hausdorff which are applied to deduce characterizations distinguished kinds completeness. Our approach, mixes conditions Suzuki-type contractions α−ϕ-type well-known proposal Samet et al., allows us extend improve some recent on spaces. The obtained results accompanied by illustrative clarifying examples.