On the topological equivalence of some generalized metric spaces

Journal of Linear and Topological Algebra

مقاله 5، دوره 09، شماره 01، خرداد 2020، صفحه 67-74   

نوع مقاله: Research Paper

نویسنده

N. TAŞ^*

Department of Mathematics‎, ‎Bali kesir University‎, ‎10145‎, ‎Bali kesir‎, ‎Turkey

چکیده

‎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 a $TVS$-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.

کلیدواژه‌ها

S-metric؛ cone S-metric؛ N-cone metric

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