Standard single valued neutrosophic metric spaces with application

Abstract

In recent years, J. R. Kider and Z.A. Hussain have introduced the notion of standard fuzzy metric space and some basic properties were proved. In this paper, we generalize this notion to the setting of single valued neutrosophic sets. Furthermore, some interesting properties related to this notion are studied such as the continuity property of the mappings defined on standard single valued neutrosophic metric spaces. As an application, we establish the Edelstein fixed point theorem for standard single valued neutrosophic metric spaces.