On the topological equivalence of S-metric and cone S-metric spaces

Nihal Taş

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arXiv · 1801.00024

On the topological equivalence of S-metric and cone S-metric spaces

Nihal Taş

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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.

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Nihal Taş. 2017-12-29. On the topological equivalence of S-metric and cone S-metric spaces. https://arxiv.org/abs/1801.00024

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