Some topological properties of fuzzy strong b-metric spaces

Journal of Linear and Topological Algebra

مقاله 5، دوره 08، شماره 02، شهریور 2019، صفحه 127-131   

نوع مقاله: Research Paper

نویسنده

T. Oner^*

Department of Mathematics, Faculty of Science, Mugla Sıtkı Kocman University Mugla 48000, Turkey

چکیده

‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined with same continuous t-norms and show that $X_{1}\times X_{2}$ is a‎ ‎complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are‎ ‎complete fuzzy strong b-metric spaces‎. ‎Finally it is proven that a subspace‎ ‎of a separable fuzzy strong b-metric space is separable‎.

کلیدواژه‌ها

Fuzzy strong b-metric space؛ strong b-metric space؛ complete؛ separable

مراجع

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