模糊度量空间中具有理想收敛性的二重序列

IF 1.8 3区数学 Q1 MATHEMATICS AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231437

Aykut Or

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引用次数: 0

摘要

给出了模糊度量空间中二重序列的理想收敛($ I $-收敛)、理想柯西($ I $-柯西)序列、$ I^* $-收敛和$ I^* $-柯西序列。我们在这些空间中定义了双序列的$ I $-极限点和$ I $-聚类点。之后，我们提供了这些方面的一些基本属性。最后，我们讨论了是否应该进一步研究这种现象。</abstract>

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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 fundamental properties of the aspects. Lastly, we discuss whether the phenomena should be further investigated.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.