Year: 2024
Type: article
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.
Author: Ajay Kumar Chaudhary
Institutions: Tribhuvan University, Tri-Chandra Multiple Campus
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402447898