expansion semigroups in probabilistic metric spaces

Expansion semigroups in probabilistic metric spaces

We present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.

Completeness in Probabilistic Metric Spaces

The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...

Strong $I^K$-Convergence in Probabilistic Metric Spaces

In this paper we introduce strong $I^K$-convergence of functions which is common generalization of strong $I^*$-convergence of functions in probabilistic metric spaces. We also define and study strong $I^{K}$-limit points of functions in same space.

Topologies for Probabilistic Metric Spaces

On Generalized Probabilistic Metric Spaces

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.

Minimax Theorems in Probabilistic Metric Spaces

The minimax problem is of fundamental importance in nonlinear analysis and, especially, plays an important role in mathematical economics and game theory. The purpose of this paper is to obtain some minimax theorems for mixed lowerupper semi-continuous functions in probabilistic metric spaces which extend the minimax theorems of von Neumann types [1, 3, 4, 5, 6, 8, 10, 11, 12]. As applications,...