On statistical convergence of sequences of closed sets in metric spaces

Autor:	Dimitrios N. Georgiou, A.C. Megaritis, G.A. Prinos, F. Sereti
Rok vydání:	2021
Předmět:	010101 applied mathematics Discrete mathematics Metric space Closed set General Mathematics 010103 numerical & computational mathematics 0101 mathematics Statistical convergence Kuratowski convergence 01 natural sciences Mathematics
Zdroj:	Mathematica Slovaca. 71:409-422
ISSN:	1337-2211 0139-9918
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::786c735642b686ebbf9925695856a99b https://doi.org/10.1515/ms-2017-0477 Zobrazit plný text záznamu