集值映射的Henig次微分以及最优性条件  

Henig subdifferentials for set-valued maps and its optimality conditions

作　　者：王秀玲[1] 龚循华[2] 

机构地区：[1]宿迁高等师范学校,江苏宿迁223800 [2]南昌大学数学系,江西南昌330047

出　　处：《南昌大学学报（理科版）》2015年第6期511-517,共7页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11061023)

摘　　要：基于Sawaragi与Tanino[14]提出的集值映射的弱次微分的概念,定义了集值映射的Henig次微分,研究了它的存在性条件以及运算性质。利用这一概念,分别给出了具约束向量集值最优化问题的Henig有效解对的必要性条件和充分性条件。Using the concept of the weak subdifferential for set-valued maps introduced by Sawaragi and TaninoEl21 ,we gave the definition of Henig subdifferentials for set-valued maps. We investigated the exist- ence condition for subdifferential of this kind,and discussed its operational property. We presented both the necessary condition and sufficient condition for Henig efficient solution pair for constrained set-valued vector optimization problem, respectively.

关 键 词：弱次微分 Henig次微分 集值向量优化 最优性条件. 

分 类 号：O224[理学—运筹学与控制论]