广义Iε类凸半无限规划的最优性

The Optimality of Generalized Iε Convex Semi-infinite Planning

借助Clarke广义梯度,定义了Is,c类凸、伪Is,c类凸、拟Is,c类凸、伪拟Is,c类凸和拟伪Is,c类凸函数,得到了关于这些广义凸性的一类半无限规划最优性条件。

With the help of Clarke′s broad gradient,the optimal conditions of class Is,c convex,pseudo-Is,c convex,class Is,c convex,pseudo-Is,c convex and pseudo-Is,c convex function are defined,and then the optimal conditions for a class of semi-infinite planning for these generalized convexes are obtained.