Double sequences with ideal convergence in fuzzy metric spaces

Double sequences with ideal convergence in fuzzy metric spaces

We show ideal convergence ($ I $-convergence), ideal Cauchy ($ I $-Cauchy) sequences, $ I^* $-convergence and $ I^* $-Cauchy sequences for double sequences in fuzzy metric spaces. We define the $ I $-limit and $ I $-cluster points of a double sequence in these spaces. Afterward, we provide certain f...

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Veröffentlicht in:AIMS mathematics 2023-01, Vol.8 (11), p.28090-28104
1. Verfasser: Or, Aykut
Format: Artikel
Sprache:eng
Schlagworte:
double sequences
fuzzy metric space
ideal cauchy sequence
ideal convergence
limit point
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Zusammenfassung:We show ideal convergence ($ I $-convergence), ideal Cauchy ($ I $-Cauchy) sequences, $ I^* $-convergence and $ I^* $-Cauchy sequences for double sequences in fuzzy metric spaces. We define the $ I $-limit and $ I $-cluster points of a double sequence in these spaces. Afterward, we provide certain fundamental properties of the aspects. Lastly, we discuss whether the phenomena should be further investigated.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231437