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 |