In this paper, we do further investigations on the statistical inner and outer limits of sequences of closed sets in metric spaces, which were introduced by Nuray, Rhoades, and Talo, Sever, Başar, and generalize the conventional Painleve-Kuratowski inner and outer limits. Also, we provide criteria for checking statistical Wijsman and Hausdorff set convergences and we examine the relationship between Kuratowski and Wijsman statistical convergence. A closer look on the concept of statistical Cauchyness, with respect to the Hausdorff “extended” metric h , completes this research.

中文翻译：

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关于度量空间中闭集序列的统计收敛

在本文中，我们对度量空间中闭集序列的统计内部和外部极限进行了进一步的研究，这是由Nuray，Rhoades和Talo，Sever，Başar引入的，并推广了常规的Painleve-Kuratowski内部和外部极限。此外，我们提供了检查Wijsman统计集和Hausdorff集收敛性的标准，并检验了Kuratowski和Wijsman统计收敛性之间的关系。关于Hausdorff“扩展”度量h，仔细研究统计柯西性的概念，就可以完成这项研究。