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On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces. (English) Zbl 1189.40003
Summary: Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by the first two authors [Chaos Solitons Fractals 41 2414–2421 (2009; Zbl 1198.40007)]. We know that ideal convergence is more general than statistical convergence for single or double sequences. This has motivated us to study the ideal convergence of double sequences in a more general setting. That is, in this paper, we study the concept of ideal convergence and ideal Cauchy for double sequences in intuitionistic fuzzy normed spaces.
MSC:
40B05Multiple sequences and series
26E60Means
40A05Convergence and divergence of series and sequences
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