Statistical convergence in fuzzy 2-normed space

Mohiuddine S. A., Şevli H., Cancan M.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.12, sa.4, ss.787-798, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 4
  • Basım Tarihi: 2010
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.787-798
  • Anahtar Kelimeler: Fuzzy 2-normed space, statistical convergence, statistically Cauchy sequence, statistical limit point, statistical cluster point, 2-normed space
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Motivated by the notion of 2-norm due to Gahler [S. Gahler, 2-metrische Raume und ihre topologische Struktur, Math. Nachr. 26 (1963) 115-148], in this paper we define and study the concept of statistical convergence and statistically Cauchy sequence in fuzzy 2-normed space which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point in fuzzy 2-normed space.