On difference ideal convergence of double sequences in random 2-normed spaces. (English) Zbl 1321.40008
Summary: 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.
MSC:
| 40J05 | Summability in abstract structures |
| 40A35 | Ideal and statistical convergence |
| 40B05 | Multiple sequences and series |
Keywords:
double sequences; \(I\)-convergence; difference sequence; \(t\)-norm; \(2\)-norm; random \(2\)-normed spaceReferences:
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