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...

The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed point results.

In this paper, the concept of compatibility of type (A) and weak compatibility in Menger space has been applied to prove a common fixed point theorem for six self maps which generalizes the result of Pant et. al. [8].

1. A statistical metric space2 (briefly, an S M space) is a set 5 and a mapping $ from SXS into the set of distribution functions (i.e., real-valued functions of a real variable which are everywhere defined, nondecreasing, left-continuous and have inf 0 and sup 1). The distribution function *5(p, q) associated with a pair of points (p, q) in S is denoted by Fpq. The functions Fpq are assumed to...

In this paper the concept of compatible map in menger space has been applied to prove common fixed point theorem. A fixed point theorem for self maps has been established using the concept of compatibility of pair of self maps.

This study deals with an establishment of some common fixed point theorems for weak sub sequential continuous and compatibility of type (E) maps via C-class functions in a non Archimedean Menger Probabilistic Metric space.

The Fixed Point Theorem had been proved on Reciprocally Continuous Self Mapping. In this paper the fixed point theorem on reciprocally continuous self mapping is proved under Menger Space.

Abstract It is proved that for an extremally disconnected S -paracompact- T 2 spaces the properties semi-Menger, Menger, strongly star star-Menger, almost star-Menger are equivalent. We show a weakly semi-continuous (strongly θ -semi-continuous) image of semi-Menger (almost semi-Menger) (semi-Menger), respectively. The characterizations and also provided.