$\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence of Functions In 2-Normed Spaces

Year 2018, Volume: 6 Issue: 1, 57 - 62, 15.04.2018

Mukaddes Arslan Erdinç Dündar

Abstract

In this paper, we study concepts of $\mathcal{I}$-convergence, $\mathcal{I}^*$-convergence, $\mathcal{I}$-Cauchy and $\mathcal{I}^*$-Cauchy sequences of functions and investigate relationships between them and some properties in $2$-normed spaces.

Keywords

Ideal, Filter, Sequence of functions, $\mathcal{I}$-Convergence, $\mathcal{I}$-Cauchy, 2-normed spaces

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