集值优化局部Henig有效解的最优性条件  

Optimality conditions of locally Henig efficient solutions for set-valued optimization problems

作　　者：余国林[1] 李永新[2] 

机构地区：[1]北方民族大学信息与系统科学研究所,宁夏银川750021 [2]平顶山学院数学系,河南平顶山467002

出　　处：《兰州大学学报（自然科学版）》2007年第5期121-124,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金(69972036).

摘　　要：引进集值映射的Henig有效次微分的概念,并用它得到了集值向量优化问题局部Henig有效解在支撑函数和Lagrange乘子形式下的最优性必要条件.The concept of Henig efficient subdifferential is introduced and the necessary optimality conditions for vector optimization problems with set-valued mappings for locally Henig efficient solutions are established in terms of support functions and Lagrange multipliers by using the concept of Henig efficient subdifferential for set-valued mappings.

关 键 词：集值映射 次微分 支撑函数 最优性条件 

分 类 号：O224[理学—运筹学与控制论]