| 集值优化局部Henig有效解的最优性条件 |
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| 引用本文： | 余国林,李永新.集值优化局部Henig有效解的最优性条件[J].兰州大学学报(自然科学版),2007,43(5):121-124. |
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| 作者姓名： | 余国林 李永新 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 集值映射 次微分 支撑函数 最优性条件 |
| 文章编号： | 0455-2059（2007）05-0121-04 |
| 修稿时间： | 2006-04-28 |
Optimality conditions of locally Henig efficient solutions for set-valued optimization problems |
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| YU Guo-lin,LI Yong-xin.Optimality conditions of locally Henig efficient solutions for set-valued optimization problems[J].Journal of Lanzhou University(Natural Science),2007,43(5):121-124. |
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| Authors: | YU Guo-lin LI Yong-xin |
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| Institution: | 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 |
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| 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. |
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| Keywords: | set-valued mapping subdifferential support function optimality condition |
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