Ideal Convergence in $2$-Metric Spaces

Abstract

In this paper, we firstly introduce the notions of $\mathcal{I}$-convergence and $\mathcal{I}^*$-convergence and also, we investigate some inclusion relations between $\mathcal{I}$-convergence and $\mathcal{I}^*$-convergence in $2$-metric space. Then, we introduce the notions of $\mathcal{I}$-Cauchy sequence and $\mathcal{I}^*$-Cauchy sequence and also, we investigate some inclusion relations between $\mathcal{I}$-Cauchy sequence and $\mathcal{I}^*$-Cauchy sequence in $2$-metric space.

Keywords

• Ideal convergence
• $2$-metric spaces
• Ideal Cauchy Sequence

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