集值优化局部Henig有效解的最优性条件
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余国林[1] 李永新[2]
[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
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.[著者文摘]
文章出处:
《兰州大学学报:自然科学版》-2007年43卷5期 -121-124页
Journal of Lanzhou University(Natural Science)
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
0455-2059(2007)05-0121-04
Optimality conditions of locally Henig efficient solutions for set-valued optimization problems
YU Guo-lin, LI Yong-xin(1. Research Institute of Information and System Computation Science, North National University Yinchuan 750021, China; 2. Department of Mathematics, Ping Ding Shan University, Pingdingshan 467002, Henan, China)
Abstract:
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.[著者文摘]
Key words:
set-valued mapping; subdifferential; support function; optimality condition
收稿日期: 2006-04-28
修订日期: 2006-11-15
基金资助:
国家自然科学基金资助项目(69972036).

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