A study on $\mathcal{I}$-localized sequences in S-metric spaces

In this paper we study the notion of $\mathcal{I}$-localized and ${\mathcal{I}}^{\ast }$-localized sequences in $S$-metric spaces. Also, we investigate some properties related to $\mathcal{I}$-localized and $\mathcal{I}$-Cauchy sequences and give the idea of $\mathcal{I}$-barrier of a sequence in the same space.