S^{JS}- metric and topological spaces

Abstract

We introduce the idea of S^{JS}- metric spaces which is a generalization of metric spaces. We next study the properties of S^{JS}- metric spaces and prove several theorems. We also deal with abstract S^{JS}- topological spaces induced by S^{JS}- metric and obtain several classical results including Cantor's intersection theorem in this setting. DOI: 10.1735/jme.2021.01.01134