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On statistical convergence in random 2-normed spaces. (English) Zbl 1274.40015
Summary: The idea of statistical convergence was introduced in 1951, and since then several generalizations and applications of this concept have been investigated by various authors. Statistical convergence in probabilistic normed spaces and 2-Banach spaces was studied recently. In this paper we propose to study statistical convergence in random 2-normed spaces which seems to be a quite new and interesting idea.

MSC:
40A35 Ideal and statistical convergence
40J05 Summability in abstract structures
46S50 Functional analysis in probabilistic metric linear spaces
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