| 广义凸集值映射优化问题的强有效解 |
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| 引用本文： | 王其林.广义凸集值映射优化问题的强有效解[J].重庆交通学院学报,2007,26(4):162-165. |
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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： | 重庆交通大学青年科学基金课题（2006-026）. |
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| 摘 要： | 在局部凸Hausdorff拓扑向量空间中,研究了集值优化问题的强有效解.首先,在广义锥次似凸集值映射下,获得了集值优化问题的强有效解的标量化的特性,最后,获得了带广义不等式约束集值优化问题的强有效解的La-grange型最优性条件.
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| 关 键 词： | 集值优化 强有效解 标量化 Lagrange型最优性条件 |
| 文章编号： | 1001-716X（2007）04-0162-04 |
| 收稿时间： | 2006-04-14 |
| 修稿时间： | 2006-04-24 |
Strongly Efficient Solutions for Optimization Problems with Generalized Convex Set-valued Maps |
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| WANG Qi-lin.Strongly Efficient Solutions for Optimization Problems with Generalized Convex Set-valued Maps[J].Journal of Chongqing Jiaotong University,2007,26(4):162-165. |
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| Authors: | WANG Qi-lin |
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| Abstract: | In locally convex Hausdorff topological vector spaces,strongly efficient solutions for the set-valued optimization were discussed.Under the generalized cone-subconvexlike set-valued maps,characterizations of scalarization for strongly efficient solutions of set-valued optimization are obtained.Then,Lagrange type optimality conditions for strongly efficient solutions of the set-valued optimization with generalized inequality constraints are obtained. |
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| Keywords: | set-valued optimization strongly efficient solutions scalarization Lagrange type optimality conditions |
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