B-C-半预不变凸函数的择一定理与优化条件

The Alternative and Optimization Condition of the B-C-semipreinvex Functions

利用凸集分离定理,讨论了B-C-半预不变凸函数的择一性定理,并利用择一性定理,给出了带约束条件的向量优化问题解的优化条件。

Using the convex set separation theorem,the paper studies on the alternative theorem of the B-C-semipreinvex functions,and one necessary condition of optimization for vector problems with restriction is obtained by the alternative theorem.