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| 弱有效意义下向量集值优化的Kuhn-Tucker条件与对偶 | |
| 引用本文： | 盛宝怀,李宏涛,陈志祥.弱有效意义下向量集值优化的Kuhn-Tucker条件与对偶[J].宁波大学学报(理工版),2003,16(1):18-24. |
| 作者姓名： | 盛宝怀 李宏涛 陈志祥 |
| 作者单位： | 1. 宁波大学,数学研究所,浙江,宁波,315211;西南石油学院,博士后流动站,四川,南充,637001 2. 宝鸡文理学院,数学系,陕西,宝鸡,721007 3. 绍兴文理学院,数学系,浙江,绍兴,312000 |
| 基金项目： | 浙江省自然科学基金(102066)，宁波市青年博士基金(02J20102-06)，宁波大学博士后基金 |
| 摘 要： | 借助于由广义Contingent切锥并用上图而引入有关集值映射的Contingent切导数，对约束集值优化问题的弱有效解建立了Kuhn—Tucker必要及充分性条件，由此建立了向量集值优化弱有效解的Wolfe型和Mond—Weir型对偶的弱定理、正定理及逆定理。 |
| 关 键 词： | 向量集值优化 集值映射 广义Contingent切锥 弱有效解 Kuhn－Tucker条件 多目标规划 对偶 |
| 文章编号： | 1001-5132(2003)01-0018-07 |
| 修稿时间： | 2002年11月26 |
Kuhn-Tucker Condition and Duality of Set-valued Optimization |
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| SHENG Bao-huai,LI Hong-tao,CHEN Zhi-xiang.Kuhn-Tucker Condition and Duality of Set-valued Optimization[J].Journal of Ningbo University(Natural Science and Engineering Edition),2003,16(1):18-24. | |
| Authors: | SHENG Bao-huai LI Hong-tao CHEN Zhi-xiang |
| Abstract: | A generalized Kuhn-Tucker optimality condition of constrained vector optimization of set-valued maps with weak efficiency is obtained with the aid of the Contingent tangent derivatives which are developed with the help of generalized Contingent tangent cone and the epigraphy of the set-valued map, with which the weak duality theorem, direct duality theorem and the converse duality theorem for Wolfe type and Mond-Weir type duality are considered. |
| Keywords: | contingent tangent cone set-valued map weak efficiency duality |
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