\(\mathcal{I}_2\)-Cauchy double sequences in 2-normed spaces
Abstract
The concept \(\mathcal{I}\)-Cauchy and \(\mathcal{I}^{*}\)-Cauchy sequences were studied by Gudal and Acik in on \(\mathcal{I}\)-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 11 (2) (2008), 349--354. In this paper, we introduce the
notions of \(\mathcal{I}_2\)-Cauchy and \(\mathcal{I}_2^{*}\)-Cauchy double sequences, and study their some properties with (AP2) in 2-normed spaces.
About this article
Keywords
- Ideal
- Double Sequences
- \(\mathcal{I}_2\)-Convergence
- \(\mathcal{I}_2\)-Cauchy
- 2-normed spaces.
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