含参DC复合优化问题值函数的Mordukhovich次微分

Mordukhovich Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems

利用函数的次微分性质,并引入弱性约束规范条件,对含参DC复合优化问题最优值函数的Mordukhovich次微分进行了估计,并将相关结论应用于DC复合锥规划问题之中.

By using the properties of subdifferentials of function,we introduce a new weaker constraint qualification.Under this constraint qualification,we establish the upper estimates of the Mordukhovich subdifferential of the value function for the parametrized DC composite optimization problems.Then,applications to the conic programming involving DC composite function are given.