| 向量最优化问题的最优性条件 |
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| 引用本文： | 袁德辉.向量最优化问题的最优性条件[J].韩山师范学院学报,2005,26(3):13-16. |
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| 作者姓名： | 袁德辉 |
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| 作者单位： | 韩山师范学院数学与信息技术学院,广东,潮州,521041 |
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| 摘 要： | 定义了几种集值映射的广义凸性，研究了相应的性质刻画及其Gordan—Farkas型定理，并利用此Gordan—Farkas型定理给出了集值映射向量最优化的最优性条件．
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| 关 键 词： | 集值映射 广义凸性 Gordan—Farkas型定理 相对代数内部 代数内部 |
| 文章编号： | 1007-6883（2005）03-0013-04 |
| 收稿时间： | 2004-06-08 |
| 修稿时间： | 2004-06-08 |
Optimality Conditions for Vector Optimization of Set-valued Maps |
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| YUAN De-hui.Optimality Conditions for Vector Optimization of Set-valued Maps[J].Journal of Hanshan Teachers College,2005,26(3):13-16. |
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| Authors: | YUAN De-hui |
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| Institution: | College of Mathematics and Information Technology, Hanshan Teachers College, Chaozhou 521041, China |
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| Abstract: | In this paper, we define some generalized convexities of set-valued maps, discuss the relationships among them and consider the Gordan-Farkas-type theorem about them. We then apply the result to the vector optimization involving set-valued maps. |
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| Keywords: | set-valued maps generalized convexity Gordan-Farkas-type theorem relative algebra interior algebra interior |
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