@article{article_1793330, title={Ideal Convergence in $2$-Metric Spaces}, journal={Konuralp Journal of Mathematics}, volume={13}, pages={259–263}, year={2025}, author={Afacan, Zeliha and Dündar, Erdinç}, keywords={Ideal convergence, $2$-metric spaces, Ideal Cauchy Sequence}, 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.}, number={2}, publisher={Mehmet Zeki SARIKAYA}