In the present paper we study some generalized probabilistic metric spaces. Relationships with another deterministic and probabilistic metric structures are analyzed. A contraction condition for mappings with values into such a generalized probabilistic metric space is given. Fixed point results are proved.

We define and study a quantale-valued Wijsman structure on the hyperspace of all non-empty closed sets of a quantale-valued metric space. We show its admissibility and that the metrical coreflection coincides with the quantale-valued Hausdorff metric and that, for a metric space, the topological coreflection coincides with the classical Wijsman topology. We further define an index of compactnes...

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory gravity (generalized HMPG) suggested by Böhmer and Tamanini, involving both a metric $$g_{\mu\nu}$$ an independent connection $$\hat{\Gamma}_{\mu\nu}^{\alpha}$$ ; gravitational field Lagrangian is arbitrary function $$f(R,P)$$ two Ricci scalars, $$R$$ obtained from $$P$...

Based on previous results that study the completion of fuzzy metric spaces, we show that every intuitionistic fuzzy quasi-metric space, using the notion of fuzzy metric space in the sense of Kramosil and Michalek to obtain a generalization to the quasi-metric setting, has a bicompletion which is unique up to isometry.

In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space. Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.

In this paper, we introduce generalized contraction mapping in fuzzy metric space. Some fixed point theorems for fuzzy metric space in the sense of George and Veeramani [2]. Mathematics Subject Classification: 47H10, 54A40.