ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

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

Problemy Analiza, cilt.11, sa.29, ss.3-14, 2022 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 29
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15393/j3.art.2022.11850
  • Dergi Adı: Problemy Analiza
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.3-14
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.