Chebyshev centers, ε-Chebyshev centers and the Hausdorff metric

Wang Jia-ping; Yu Xin-tai

doi:10.1007/BF01173706

Chebyshev centers, ε-Chebyshev centers and the Hausdorff metric

Wang Jia-ping, Yu Xin-tai

Mathematics

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4 Scopus citations

Abstract

In this paper, we affirmatively answer an open question raised by P.Szeptycki and Vlech in (9) and give a new characterization of p-uniformly convex Banach space. The Lipschitz stability of the set of ε-Chebyshev centers G_ε(A) under the perturbations of A and G is also proved.

Original language	English (US)
Pages (from-to)	115-128
Number of pages	14
Journal	Manuscripta Mathematica
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/BF01173706
State	Published - Mar 1989

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abstract = "In this paper, we affirmatively answer an open question raised by P.Szeptycki and Vlech in (9) and give a new characterization of p-uniformly convex Banach space. The Lipschitz stability of the set of ε-Chebyshev centers Gε(A) under the perturbations of A and G is also proved.",

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Chebyshev centers, ε-Chebyshev centers and the Hausdorff metric

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