Statistical convergence in fuzzy 2-normed space
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.12, no.4, pp.787-798, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 4
- Publication Date: 2010
- Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.787-798
- Keywords: Fuzzy 2-normed space, statistical convergence, statistically Cauchy sequence, statistical limit point, statistical cluster point, 2-normed space
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
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.