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 $-cluster points of a double sequence in these spaces. Afterward, we provide certain fundamental properties of the aspects. Lastly, we discuss whether the phenomena should be further investigated.
Citation: Aykut Or. Double sequences with ideal convergence in fuzzy metric spaces[J]. AIMS Mathematics, 2023, 8(11): 28090-28104. doi: 10.3934/math.20231437
We show ideal convergence ($ 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.
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Aykut Or. Double sequences with ideal convergence in fuzzy metric spaces[J]. AIMS Mathematics, 2023, 8(11): 28090-28104. doi: 10.3934/math.20231437
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