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

Authors

  • Erdinç Dündar

    Afyon Kocatepe University

  • Yurdal Sever

    Afyon Kocatepe University

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: December 12, 2014

Accepted date: December 12, 2014

Published date: December 28, 2014

DOI:

https://doi.org/10.14419/gjma.v3i1.4020

Keywords:

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: December 12, 2014

Accepted date: December 12, 2014

Published date: December 28, 2014