| 序线性空间中集值优化问题弱有效解的最优性条件 |
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| 引用本文： | 王其林.序线性空间中集值优化问题弱有效解的最优性条件[J].重庆交通学院学报,2007,26(2):160-163. |
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| 作者姓名： | 王其林 |
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| 作者单位： | 重庆交通大学理学院 重庆400074 |
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| 基金项目： | 重庆交通大学科学基金课题（2006-026） |
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| 摘 要： | 在序线性空间中,引入(u,02;Y )—广义次似凸集值映射,建立了此映射下的一个择一定理.利用此定理,在序线性空间中获得了带广义不等式约束的集值优化问题弱有效解的最优性必要条件和充分条件.
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| 关 键 词： | 序线性空间 集值优化问题 (u 02 Y )—广义次似凸集值映射 择一定理 最优性条件. |
| 修稿时间： | 2005-12-08 |
Optimality Conditions for the Weak Efficient Solutions to the Set-valued Optimization Problems in Ordered Linear Spaces |
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| WANG Qi-lin.Optimality Conditions for the Weak Efficient Solutions to the Set-valued Optimization Problems in Ordered Linear Spaces[J].Journal of Chongqing Jiaotong University,2007,26(2):160-163. |
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| Authors: | WANG Qi-lin |
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| Institution: | School of Science, Chongqing Jiaotong University, Chongqing 400074, China |
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| Abstract: | The(u,02;Y )-generalized subconvexlike set-valued maps are introduced,and the alternative theorem of the maps is established in ordered linear spaces.Applying the theorem,the optimality necessary conditions and sufficient conditions for the weak efficient solutions to the set-valued optimization problems with generalized inequality constraints are obtained in ordered linear spaces. |
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| Keywords: | ordered linear spaces set-valued optimization problems (u 02 Y )-generalized subconvexlike set-valued maps the alternative theorem optimality conditions |
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