带约束向量优化问题的二阶最优性条件  

Second order optimality conditions for vector optimization problems with constraint

作　　者：冯燕燕[1] 仇秋生[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2013年第3期263-269,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省自然科学基金资助项目(LY12A01005)

摘　　要：在实的Hausdorff局部凸空间中,利用二阶不变凸函数得到向量优化问题的弱有效解、Heing有效解、超有效解的充分性条件;给出了这几种解和鞍点之间的关系;最后,讨论了相应的对偶问题.The vector optimization problem with constraint in locally convex real Hausdorff space was dis- cussed. Sufficient conditions for weakly efficient solutions, Henig efficient solutions, and supper efficient solu- tions were obtained by the second order invex function. The relations between saddle points and these kinds of solutions were given, and the duality of vector optimization problem were also involved.

关 键 词：最优性条件 二阶不变凸函数 有效解 鞍点 对偶 

分 类 号：O224[理学—运筹学与控制论]