Statistical convergence of double sequences on intuitionistic fuzzy normed spaces

Karakus S., Demirci K.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.10, no.3, pp.377-389, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2008
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.377-389
  • Keywords: natural double density, statistical convergence, continuous t-norm, continuous t-conorm, intuitionistic fuzzy normed space, METRIC-SPACES, SETS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The concept of statistical convergence was presented by Steinhaus (1951), This concept was extended to the double sequences by Mursaleen and Edely (2003). In this paper, we define and study statistical analogue of convergence and Cauchy for double sequences on intuitionistic fuzzy normed spaces. Then we give a useful characterization for statistically convergent double sequences. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence for double sequences on intuitionistic fuzzy normed spaces.