S^{JS}- metric and topological spaces

Authors

  • Ismat Beg Lahore school of Economics
  • Kushal Roy
  • Mantu Saha

DOI:

https://doi.org/10.30495/jme.v0i0.1589

Keywords:

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

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

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Published

2020-12-29

Issue

Vol. 15

Section

Vol. 15, No. 4, (2021)

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