不可微B－凸多目标规划

NONDIFFERENTIABLE B-VEX MULTIOBJECTIVE PROGRAMMING

本文利用Ｂｅｃｔｏｒ等人引进的Ｂ－凸函数，在Ｃｌａｒｋｅ广义梯度意义下，针对Ｌｉｐｓｃｈｉｔｚ函数类，讨论了不可微Ｂ－凸多目标规划的非控解的充分条件及必要条件，而且给出了相应的对偶问题及对偶定理。

In this paper,by means of the Clarke's generalized derivative for the class of Lipschitz functions,we discuss the sufficient conditions and necessary conditions of the nondominated solutiions of nondifferentiable B-vex multiobjective programming,and present the corresPOndence dual problem as well as the dual theorems by using the B-vex functions introduced by Bector etc.