\(\mathcal{I}_2\)-Cauchy double sequences in 2-normed spaces

  • Authors

    • Erdinç Dündar Afyon Kocatepe University
    • Yurdal Sever Afyon Kocatepe University
    2014-12-28
    https://doi.org/10.14419/gjma.v3i1.4020
  • Ideal, Double Sequences, \(\mathcal{I}_2\)-Convergence, \(\mathcal{I}_2\)-Cauchy, 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.

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  • How to Cite

    Dündar, E., & Sever, Y. (2014). \(\mathcal{I}_2\)-Cauchy double sequences in 2-normed spaces. Global Journal of Mathematical Analysis, 3(1), 1-7. https://doi.org/10.14419/gjma.v3i1.4020

    Received date: 2014-12-12

    Accepted date: 2014-12-12

    Published date: 2014-12-28