| 线性空间中集值优化问题弱有效解与向量鞍点 |
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| 引用本文： | 王其林.线性空间中集值优化问题弱有效解与向量鞍点[J].重庆交通学院学报,2007,26(3):166-168. |
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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： | 重庆交通大学科研基金资助课题（2006-026）. |
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| 摘 要： | 在序线性空间中定义了带广义不等式约束集值优化问题的广义向量Fritz-John鞍点和广义向量Kuhn-Tucker鞍点,建立了二者之间关系.最后,借助广义锥次似凸映射的择一定理,讨论了集值优化问题的弱有效解与它们之间的关系.
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| 关 键 词： | 集值优化问题 序线性空间 广义Y -次似凸 广义向量Fritz-John鞍点 广义向量Kuhn-Tucker鞍点. |
| 文章编号： | 1001-716X（2007）03-0166-03 |
| 修稿时间： | 2006-12-052006-12-21 |
Weak Efficient Solutions and Vector Saddle Points of Set-valued Optimization Problems in Linear Spaces |
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| WANG Qi-Lin.Weak Efficient Solutions and Vector Saddle Points of Set-valued Optimization Problems in Linear Spaces[J].Journal of Chongqing Jiaotong University,2007,26(3):166-168. |
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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: | In ordered linear spaces,generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined,and the relations between them were established.And then,applying the alternative theorems under the generalized cone-subconvexlikeness,the relations among the weak efficient solutions of set-valued optimization problems and them were dicussed. |
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| Keywords: | set-valued optimization ordered linear spaces generalized Y -subconvexlikeness generalized vector Fritz-John saddle point generalized vector Kuhn-Tucker saddle point |
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