On Topology of Fuzzy Strong b-Metric Spaces

Authors : Tarkan Oner

Pages : 59-67

View : 16 | Download : 10

Publication Date : 2018-02-27

Article Type : Research

Abstract :In this study, we introduce and investigate the concept of fuzzy strong b-metric space  such that is a fuzzy analogy of strong b-metric spaces. By using the open balls, we define a topology on these spaces which is Hausdor® and first countable. Later we show that open balls are open and closed balls are closed. After defining the standard fuzzy strong b-metric space induced by a strong b-metric, we show that these spaces have same topology. We also note that every separable fuzzy strong b-metric space is second countable. Moreover, we give the uniform convergence theorem for these spaces.
Keywords : Fuzzy strong b-metric space, strong b-metric space, b-metric spaces, uniform convergence