Ideal convergence of a sequence of Chebyshev radii of sets

Year 2022, Volume: 71 Issue: 4, 944 - 953, 30.12.2022

Hüseyin Albayrak

https://doi.org/10.31801/cfsuasmas.1123739

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

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