唯一远达点和极大化序列的收敛性

Unique Farthest Point and Convergence of a Maxinizing Sequence

本文主要讨论唯一远达点和极大化序列的收敛性，即给出如下定理：设X具（H）性质且为严格凸的Banach空间，K是X中弱M紧集，Fk(x)在X上fr■chet可微，则是X中的稠G_δ集。

In this paper.the anthor mainly discusses uinque farthest point and convergence of a maximizing sequence is shows the following theorem:Let X be (H)property and strictly convex Banach space .K be a weakly M-Compact subset Fk(x) is Frechet differentiability on X. Then the set A(k) is a dense G8 subset in X.