It is shown that a point and a ( compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space. 给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
Best Approximation Element of Weakly Compact Convex Set in the Banach Spaces Banach空间中关于弱紧凸集的最佳逼近元
In this paper, we formulate a pair of higher-order symmetric models by using a differentiable function, where the objective functions contain a support function of a compact convex set in Rn. 本文我们利用一个可微函数给出了一对高阶对称规划问题,其中目标函数包含了Rn中一紧凸集的支撑函数。