Rockafellar的一个择一定理的简证

A Simplified Proof for a Theorem of Alternatives of Rockafellar

本文为Rockafellar的—个含有凸函数不等式和线性不等式的择一定理给出了简证,所用的工具只是凸集弱分离定理。

Merely by adopting the weak separation theorem of convex sets, a simplified proof is given for a theorem of alteratives of Rockafellar in which convex inequalities and linear inequalities are involved.