- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 4
- Ideal convergence of a sequence of Chebyshev radii of sets
Ideal convergence of a sequence of Chebyshev radii of sets
Authors : Hüseyin Albayrak
Pages : 944-953
Doi:10.31801/cfsuasmas.1123739
View : 13 | Download : 7
Publication Date : 2022-12-30
Article Type : Research
Abstract :In this paper, we investigate the diameters, Chebyshev radii, Chebyshev self-radii and inner radii of a sequence of sets in the normed spaces. We prove that if a sequence of sets is I - Hausdorff convergent to a set, the sequence of Chebyshev radii of that sequence is I -convergent. Similar relations are showed for the sequence of diameters, Chebyshev self-radii and inner radii of that sequence.Keywords : Chebyshev radius, Hausdorff convergence, I-convergence, I-Hausdorff convergence