Fuzzy Partial Metric Spaces and Fixed Point Theorems

Partial metrics constitute a generalization of classical for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 order to provide an adequate mathematical framework the denotational semantics programming languages. Since then, different works devoted obtaining counterparts metric fixed-point results more general context partial metrics. Nevertheless, literature was shown that many these generalizations are actually obtained as corollary their aforementioned counterparts. Recently, two fuzzy versions have been literature. Such notions future extend already established fixed point context. The goal this paper is retrieve conclusion drawn Haghia et al. To achieve goal, we construct from metric. topology, Cauchy sequences, and completeness associated with studied, relationships same provided. Moreover, helps us show stated spaces can extended directly framework. An outstanding difference between our approach technique shown.