A study on $I$-Cauchy sequences and $I$-divergence in $S$-metric spaces
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DOI:
https://doi.org/10.26637/MJM0602/0004Abstract
The notion of $S$-metric space was introduced by Sedghi et al. In this paper we study the ideas of $I$ and $I^*$-Cauchy sequences in $s$-metric spaces and investigate their relation following the same approach as done by Das and Ghosal. We then study the ideas of $I$ and $I^*$-divergent sequences in $S$-metric spaces and examine their relation under certain general assumption.
Keywords:
Ideal, S-metric space, I-Cauchy, I-divergence, I-divergence, condition (AP).Mathematics Subject Classification:
Mathematics- Pages: 326-330
- Date Published: 01-04-2018
- Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)
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