ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS
Problemy Analiza, cilt.11-29, sa.3, ss.3-14, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11-29 Sayı: 3
- Basım Tarihi: 2022
- Doi Numarası: 10.15393/j3.art.2022.11850
- Dergi Adı: Problemy Analiza
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.3-14
- Anahtar Kelimeler: nested sequences of sets, statistical Wijsman conver-gence, statistical Hausdorff convergence, CONVEX-SETS, CONES
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
© Petrozavodsk State University, 2022In 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.