正则Lipschitz规划的一阶最优性条件和最弱约束规格

First-Order Optimality Conditions and Weakest Constraint Qualifications for Regular Lipschitz Programming Problems

讨论了正则的Lipschitz规划的一阶最优性条件,其主要研究工具是局部Lipschitz函数的广义梯度.给出了无等式约束的正则Lipschitz规划的一阶约束规格,并且证明了这种约束规格是最弱的。

Gives a discussion on the first-order optimality conditions for regular Lipschitz programming problems. The main tool applied in this study is the concept of generalized gradient of locally Lipschitz function.First-order constraint qualifications are given which are weakest for a point to be a local minimizer for regular Lipschitz programming problems without equality constraints.