ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

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Albayrak H., Babaarslan F., Ölmez Ö., Aytar S.

Problemy Analiza, vol.11, no.29, pp.3-14, 2022 (ESCI)

• Publication Type: Article / Article
• Volume: 11 Issue: 29
• Publication Date: 2022
• Doi Number: 10.15393/j3.art.2022.11850
• Journal Name: Problemy Analiza
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
• Page Numbers: pp.3-14
• Open Archive Collection: AVESIS Open Access Collection
• Yozgat Bozok University Affiliated: Yes

Abstract

Abstract. In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone. Then, we show that every statistical Wijsman convergent monotone sequence of sets is not only Hausdorff convergent but also statistical Hausdorff convergent to the same set.