Ideal convergence of a sequence of Chebyshev radii of sets

Authors : Hüseyin ALBAYRAK

Pages : 944-953

Doi:10.31801/cfsuasmas.1123739

View : 16 | Download : 7

Publication Date : 2022-12-30

Article Type : Research Paper

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