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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-128 |
| Number of pages | 14 |
| Journal | Manuscripta Mathematica |
| Volume | 63 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1989 |
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