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

Amar Kumar Banerjee; Nesar Hossain

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

General Topology 2022-06-22 v1

Authors: Amar Kumar Banerjee , Nesar Hossain

Abstract

In this paper we study the notion of $\mathcal{I}$ -localized and $\mathcal{I^*}$ -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.

Cite

@article{arxiv.2206.08962,
  title  = {A study on $\mathcal I$-localized sequences in S-metric spaces},
  author = {Amar Kumar Banerjee and Nesar Hossain},
  journal= {arXiv preprint arXiv:2206.08962},
  year   = {2022}
}

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11 pages

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