Statistical convergence in fuzzy 2-normed space


Mohiuddine S. A. , Şevli H. , Cancan M.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.12, ss.787-798, 2010 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 12 Konu: 4
  • Basım Tarihi: 2010
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.787-798

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.