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On Topology of Fuzzy Strong b-Metric Spaces
ISSN: 2149 - 1402
Publisher: author
On Topology of Fuzzy Strong b-Metric Spaces
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Science General
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1.3
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214977231402
eISSN
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2149 - 1402
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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.
