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On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces

✍ Scribed by M. Mursaleen; S.A. Mohiuddine; Osama H.H. Edely

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
568 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by Mursaleen and Mohiuddine [Statistical convergence of double sequences in intuitionistic fuzzy normed spaces, Chaos, Solitons Fractals, 41 (2009) pp. 2414-2421]. 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.

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