Statistical convergence in fuzzy 2-normed space
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.12, sa.4, ss.787-798, 2010 (SCI-Expanded, Scopus)
- 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.