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Statistical convergence in fuzzy 2-normed space. (English) Zbl 1198.40002

Summary: Motivated by the notion of 2-norm due to Gähler, we define and study the concept of statistical convergence and statistically Cauchy sequence in fuzzy 2-normed spaces which provide better tools to study a more general class of sequences. We also introduce here statistical limit points and statistical cluster points in fuzzy 2-normed space.

MSC:

40A35 Ideal and statistical convergence
46S40 Fuzzy functional analysis
40J99 Summability in abstract structures
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