S^{JS}- metric and topological spaces

Ismat Beg, Kushal Roy, Mantu Saha


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


S^{JS}- metric space; S^{JS}- topological spaces; S-metric space; S_{b}-metric space; generalized metric; Cantor's intersection property.

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