【摘要】 给出一对锥约束多目标非线性规划的二阶对称对偶问题,以及二阶F凸函数类的概念.在二阶F凸假设下证明了真有效解的对偶性质———弱对偶性、强对偶性及逆对偶性.更多还原

【Abstract】 A pair of second order symmetric dual problems in multiobjective nonlinear programming with cone constraints is formulated,and the definitions of a class of second-order F-convex functions are introduced.Then,under the second-order F-convex assumptions,dual theorems (weak duality,strong duality and converse duality) related to the properly efficient solution are proved.更多还原