Menger Space and Some Contraction Mappings

Abstract

Menger space is a probabilistic metric space introduced by K. Menger [15] in 1942 as one of the generalizations of metric space. The two different types of contraction mappings in probabilistic metric spaces are the creation of V.M. Sehgal [20-21], and T.L. Hicks [14]. Since then many researchers have introduced generalizations of these contraction mappings and established fixed point theorems in Menger space. 

In this paper, we discuss Menger space and contraction mapping in Menger space. Also, presents the interrelationship between some contraction mapping with examples.