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

2017/12/29 by Taş, Nihal
#47H10 #54H25 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1801.00024

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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