Statistical convergence of double sequences in fuzzy normed spaces

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MOHIUDDINE S. A., Sevli H., Cancan M.

FILOMAT, cilt.26, sa.4, ss.673-681, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.2298/fil1204673m
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.673-681
  • Anahtar Kelimeler: Fuzzy normed space, statistical convergence, statistically Cauchy, statistical limit point, statistical cluster point, LIMIT POINTS, NUMBERS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we study the concepts of statistically convergent and statistically Cauchy double sequences in the framework of fuzzy normed spaces which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point for double sequences in this framework and discuss the relationship between them.