Abstract

Recently, Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of � -statistical convergence and � -statistical Cauchy sequences in random 2-normed spaces , where λ = (λm) be a non-decreasing sequence of positive numbers tending to infinity such that λm+1 ≤ λm + 1, λ1 = 1 and prove some theorems. In last section we will give the definition of the � − limit and cluster points and we will show their relation between those classes.

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