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 $-cluster points of a double sequence in these spaces. Afterward, we provide certain f...
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| フォーマット: | 論文 |
| 言語: | English |
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AIMS Press
2023-10-01
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| シリーズ: | AIMS Mathematics |
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| オンライン･アクセス: | https://www.aimspress.com/article/doi/10.3934/math.20231437?viewType=HTML |
| 要約: | We show ideal convergence ($ 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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| ISSN: | 2473-6988 |