Some topological properties of fuzzy strong b-metric spaces

الموضوعات :

T. Oner ¹ (Department of Mathematics, Faculty of Science, Mugla Sıtkı Kocman University Mugla 48000, Turkey)

تاريخ الإرسال : 17 الثلاثاء , ذو الحجة, 1439 تاريخ التأكيد : 16 الثلاثاء , جمادى الأولى, 1440 تاريخ الإصدار : 27 السبت , رمضان, 1440

الکلمات المفتاحية: Fuzzy strong b-metric space, strong b-metric space, complete, separable,

ملخص المقالة :

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

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