闭集的二重序列的理想收敛性

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-10-09 DOI:10.22190/fumi210121045t

Ozer Talo, Y. Sever

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摘要

本文引入了Pringsheim意义上的闭集的重列即使是空集也总是存在的理想内极限和理想外极限的概念。其次，给出了在度量空间中求理想内外极限的公式。在此基础上，利用闭集二重列的理想内极限和理想外极限定义了闭集二重列的Kuratowski理想收敛性。此外，我们给出了一些例子，表明我们的结果比以前得到的结果更普遍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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IDEAL CONVERGENCE OF DOUBLE SEQUENCES OF CLOSED SETS

In the present paper, we introduce the concepts of ideal inner and ideal outer limits which always exist even if empty sets for double sequences of closed sets in Pringsheim's sense. Next, we give some formulas for finding ideal inner and outer limits in a metric space. After then, we define Kuratowski ideal convergence of double sequences of closed sets by means of the ideal inner and ideal outer limits of a double sequence of closed sets. Additionally, we give some examples that our result is more general than the results obtained before.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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