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

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

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Banerjee, Amar Kumar, Hossain, Nesar
Format: Article
Language:English
Subjects:
Metric space
Online Access:Get full text
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Summary: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.
ISSN:2331-8422