集值映射的次微分以及最优性条件  

Subdifferentials for Set-valued Maps and Optimality Conditions for Set-valued Vector Optimization

作　　者：王秀玲[1] 龚循华[2] 

机构地区：[1]宿迁高等师范学校数学系 [2]南昌大学数学系

出　　处：《应用泛函分析学报》2012年第1期100-108,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10561007)

摘　　要：基于已有的集值映射的弱次微分的概念,定义了集值映射的Henig全局次微分,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全局有效解对的必要性条件和充分性条件.Based on the concept of the weak subdifferential for set-valued maps introduced by Sawaragi and Tanino^[14] we give the definition of Henig global subdifferentials for set-valued maps. We investigate the existence condition for this kind of subdifferential, and discuss its operational property. Using this concepts, we present the necessary condition and sufficient condition for Henig globally proper efficient solution pair for constrained set-valued vector optimization problem, respectively.

关 键 词：弱次微分 Henig全局次微分 集值向量优化 最优性条件 

分 类 号：O224[理学—运筹学与控制论]