Acta Mathematica Vietnamica
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On difference ideal convergence of double sequences in random 2-normed spaces
Bipan Hazarikapp. 393-404
Abstract
An ideal $I$ is a family of subsets of positive integers $\mathbb{N}$ which is closed under taking finite unions and subsets of its elements. We define and study the notions of $\Delta^{n}$-ideal convergence and $\Delta^{n}$-ideal Cauchy double sequences in random $2$-normed spaces, and prove some interesting theorems.