Probabilistic $s_{b}$-metric spaces

A. Kalpana 1 * and M. Saraswathi 2

doi:10.26637/MJM0803/0032

Probabilistic $s_{b}$-metric spaces

Authors :

A. Kalpana ^{1 *} and M. Saraswathi ²

Author Address :

^1,2 Department of Mathematics, Kandasami Kandar’s College, Velur-638182, Tamil Nadu, India.

*Corresponding author.

Abstract :

We propose an attractive development of metric spaces termed as a probabilistic $s_{b}$-metric spaces with some examples in this work. Also some of its properties were proved.

Keywords :

Probabilistic metric spaces Probabilistic $s_{b}$-metric spaces, Strong neighbourhood, Continuous $t$-norm.

DOI :

10.26637/MJM0803/0032

Article Info :

Received : January 15, 2020; Accepted : May 19, 2020.