| 预不变凸集值向量优化问题的超有效解 |
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| 引用本文： | 周志昂.预不变凸集值向量优化问题的超有效解[J].四川师范大学学报(自然科学版),2007,30(1):36-39. |
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| 作者姓名： | 周志昂 |
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| 作者单位： | 重庆工学院,数理学院,重庆,400050 |
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| 摘 要： | 首先在赋范空间中定义了预不变凸集值映射的概念,其次应用择一定理获得了超有效解意义下含有等式和不等式约束的集值向量优化问题的标量化定理,最后建立了集值向量优化问题的最优性必要和充分条件.
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| 关 键 词： | 集值映射 预不变凸 超有效解 标量化 最优性条件 |
| 文章编号： | 1001-8395（2007）01-0036-04 |
| 收稿时间： | 2005-06-10 |
| 修稿时间： | 2005年6月10日 |
Super Efficient Solutions of Preinvex Set-valued Vector Optimization Problems |
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| ZHOU Zhi-ang.Super Efficient Solutions of Preinvex Set-valued Vector Optimization Problems[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):36-39. |
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| Authors: | ZHOU Zhi-ang |
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| Institution: | Chongqing Insitute of Technology, Chongqing 400050 |
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| Abstract: | In this paper, firstly, the concept of preinvex set-valued mapping is defined in normed vector spaces. Secondly, by the alternative theorem, scalarization theorem of set-valued vector optimization problems with equality and inequality constraint in a sense of super efficient solutions. Finally, the necessary and sufficient optimality conditions of set-valued vector optimization problem are established. |
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| Keywords: | Set-valued mapping Preinvex Super efficient solution Scalarization Optimality condition |
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