representable function

Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.

本文研究集值映射的proto—导映射在拓扑线性空间中的存在性,凸集的支撑函数和表示函数与其二阶上图导数的联系。

With indicator function,support function,distance function,and projection of a point to a closed convex body,the canonical representation for a convex body and characterization on the projection of a point to boundary of the set are presented.

利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。