DC复合优化问题的最优性条件

Optimality Conditions for DC Composite Optimization Problems wi th Conical Cons train ts

该文在函数不一定下半连续,集合不一定闭的情形下,利用凸化技术,定义了DC复合优化问题的对偶问题,建立了DC复合优化问题的最优性条件和最优解的鞍点刻画,推广了已有的相关结论.

In the case when the functions are not necessarily lower semicontinuous and the sets are not necessarily closed,we first define the dual problem for DC composite optimization problems with conical constraints by using convexification technique,then some optimality conditions and saddle point theorems are obtained,which extend the corresponding results in the previous papers.