In this paper first we prove a common fixed point theorem in Menger probabilistic metric spaces. Then we present a nonlinear contraction case of Jungck’s common fixed point theorem in Menger probabilistic metric spaces. Finally, we prove a common fixed point theorem for six self-maps in a Menger probabilistic metric space. 2007 Elsevier Inc. All rights reserved.

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.

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

In the present paper we prove a unique common fixed point theorem for four weakly compatible self maps in non Archimedean Menger Probabilistic Metric spaces without using the notion of continuity. Our result generalizes and extends the results of Amit Singh, R.C. Dimri and Sandeep Bhatt [A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-space, MATEMATIQKI ...

holds (but which implies that the space is actually a Menger space). Z̆ikić [2] extended the existence part of their theorem showing that it is enough to consider the case of special sequence tn = 1/ n and that (1) holds for some x = x0 and y = f (x0). The error in her main theorem (and in all consequences) concerns the statement that, under the same conditions, also the uniqueness of fixed poin...

<p>A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness the equivalent to property larger class includes continuous as well discontinuous mappings. In addition it, satisfying (ϵ - δ) non-expansive established.</p>

In this paper, we consider complete menger probabilistic quasimetric space and prove a common fixed point theorem for commuting maps in this space.

A Menger space (a special type of probabilistic metric spaces) is said to be compact if its strong uniformity is compact. We construct, in a natural way, Menger T -metrics on the set of distribution functions, one for each copula T (a special type of continuous t-norms). We show that, on each bounded closed interval of distribution functions, the strong uniformities of all our spaces are induce...