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 point out that in metric spaces Haver’s property is not equivalent to the property introduced by Addis and Gresham. We prove that they are equal when the space has the Hurewicz property. We prove several results about the preservation of Haver’s property in products. We show that if a separable metric space has the Haver property, and the nth power has the Hurewicz property, then the nth pow...

This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in space. Furthermore, we show novel fixed-point theorem for Gn-Menger-θ-contractions fractal spaces.

we obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of x.huang, c. zhu and x. wen.

in this paper,  the concept of fuzzy metric-like spaces is introduced which generalizes  the notion of fuzzy metric spaces given by george and veeramani cite{vee1}. some fixed point results for fuzzy contractive mappings on fuzzy metric-like spaces are derived. these results generalize several comparable results from the current literature. we also provide illustrative examples in support of ou...

and Applied Analysis 3 Definition 2.7. Let X,F, t be a Menger space, and let T : X → X be a selfmapping. For each p ∈ X, x > 0 and n ∈ N, let M ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ Z } , M1 ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ N } , M2 ( p, x, n ) min { Fp,Tlp x : l ≤ n and l ∈ N } , O ( p, n ) { Tp : k ≤ n and k ∈ Z } , O ( p,∞ { Tp : k ∈ Z } , 2.3 where it is under...

The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and...

A new, exemplar-based, probabilistic paradigm for visual tracking is presented. Probabilistic mechanisms are attractive because they handle fusion of information, especially temporal fusion, in a principled manner. Exemplars are selected representatives of raw training data, used here to represent probabilistic mixture distributions of object configurations. Their use avoids tedious hand-constr...