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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 3, Pages 3–14
DOI: https://doi.org/10.15393/j3.art.2022.11850 (Mi pa356) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the statistical convergence of nested sequences of sets

H. Albayraka, F. Babaarslanb, Ö. Ölmeza, S. Aytara

a Süleyman Demirel University, 32260, Isparta, Turkey
b Yozgat Bozok University, Department of Mathematics, 66100, Yozgat, Turkey
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DOI: https://doi.org/10.15393/j3.art.2022.11850
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.
Keywords: nested sequences of sets, statistical Wijsman convergence, statistical Hausdorff convergence.
Received: 20.05.2022
Revised: 14.08.2022
Accepted: 17.08.2022
Bibliographic databases:
Document Type: Article
UDC: 515.124
MSC: 40A05, 40A35, 54A20
Language: English
Citation: H. Albayrak, F. Babaarslan, Ö. Ölmez, S. Aytar, “On the statistical convergence of nested sequences of sets”, Probl. Anal. Issues Anal., 11(29):3 (2022), 3–14
Citation in format AMSBIB
\Bibitem{AlbBabOel22}
\by H.~Albayrak, F.~Babaarslan, \"O.~\"Olmez, S.~Aytar
\paper On the statistical convergence of nested sequences of sets
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 3--14
\mathnet{http://mi.mathnet.ru/pa356}
\crossref{https://doi.org/10.15393/j3.art.2022.11850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4507769}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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