On the topological equivalence of Smetric and cone Smetric spaces
Abstract
The aim of this paper is to establish the equivalence between the concepts of an $S$metric space and a cone $S$metric space using\ some topological approaches. We introduce a new notion of $TVS$cone $S$metric space using some facts about topological vector spaces. We see that the known results on cone $S$metric spaces (or $N$cone metric spaces) can be directly obtained from the studies on $S$metric spaces.
 Publication:

arXiv eprints
 Pub Date:
 December 2017
 arXiv:
 arXiv:1801.00024
 Bibcode:
 2018arXiv180100024T
 Keywords:

 Mathematics  General Topology;
 54H25;
 47H10
 EPrint:
 9 pages