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.
Fuzzy strong b-metric space strong b-metric space b-metric spaces uniform convergence
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 27 Şubat 2018 |
Gönderilme Tarihi | 15 Ocak 2018 |
Yayımlandığı Sayı | Yıl 2018 Sayı: 21 |
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