$A Study on $\mathcal{I}$-localized Sequences in $S$-metric Spaces$

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...

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Veröffentlicht in:	Communications in Mathematics and Applications 2023-05, Vol.14 (1), p.49-58
Hauptverfasser:	Banerjee, Amar Kumar, Hossain, Nesar
Format:	Artikel
Sprache:	eng
Schlagworte:	Codes Mathematics Metric space
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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. Finally, we use this idea for an $\mathcal{I}$-localized sequence to be $\mathcal{I}$-Cauchy when the ideal $\mathcal{I}$ satisfies the condition (AP).
ISSN:	0976-5905 0975-8607
DOI:	10.26713/cma.v14i1.2056

Zusammenfassung:	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. Finally, we use this idea for an \(\mathcal{I}\)-localized sequence to be \(\mathcal{I}\)-Cauchy when the ideal \(\mathcal{I}\) satisfies the condition (AP).
ISSN:	0976-5905 0975-8607
DOI:	10.26713/cma.v14i1.2056

A Study on \(\mathcal{I}\)-localized Sequences in \(S\)-metric Spaces