| 一类广义凸集值映射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. 一类广义凸集值映射优化问题弱有效解的最优性条件[J]. 四川师范大学学报(自然科学版), 2007, 30(5): 556-559 |
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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;重庆大学,数理学院,重庆,400030 |
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| 摘 要： | 在拓扑向量空间中定义了(u,0V)-广义次似凸集值映射.在相对内部的条件下,利用凸集分离定理,建立了此映射的择一定理.利用此择一定理,获得了带广义等式和不等式约束的优化问题的弱有效解的最优性条件.
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| 关 键 词： | 优化问题 (u 0V)-广义次似凸集值映射 相对内部 择一定理 弱有效解 最优性条件 |
| 文章编号： | 1001-8395（2007）05-0556-04 |
| 收稿时间： | 2006-06-22 |
| 修稿时间： | 2006-06-22 |
The Optimality Conditions of Weak Efficient Solutions for the Optimization Problem of a Class of Generalized Convex Set-valued Mapping |
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| WANG Qi-lin. The Optimality Conditions of Weak Efficient Solutions for the Optimization Problem of a Class of Generalized Convex Set-valued Mapping[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(5): 556-559 |
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| Authors: | WANG Qi-lin |
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| Affiliation: | 1. College of Science, Chongqing Jiaotong University, Chongqing 400074 ; 2. College of Mathematics and Physics, Chongqing University, Chongqing 400030 |
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| Abstract: | In this paper,the concept of (u,0V)-generalized subconvexlike map is defined in topological vector spaces.Under the relative interior,the alternative theorem of the map is estabished by the convex set separation theorem.Finally,using the altenative theorem,the optimality conditions of weak efficient solutions for the optimization problem with generalized equality and inequality constraints are obtained. |
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| Keywords: | The optimization problem (u 0V)-generalized subconvexlike set-valued map Relative interior Alternative theorem Weak efficient solution Optimality condition |
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