Chebyshev centers, ε-Chebyshev centers and the Hausdorff metric

Wang Jia-ping, Yu Xin-tai

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)115-128
Number of pages14
JournalManuscripta Mathematica
Issue number1
StatePublished - Mar 1989


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