| 集值优化问题严有效点集的次微分稳定性 |
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| 引用本文： | 侯震梅,王学峰,周勇. 集值优化问题严有效点集的次微分稳定性[J]. 兰州大学学报(自然科学版), 2006, 42(4): 135-139 |
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| 作者姓名： | 侯震梅 王学峰 周勇 |
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| 作者单位： | 新疆财经学院,统计信息系,新疆,乌鲁木齐,830013;石河子大学,数学系,新疆,石河子,832000 |
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| 基金项目： | 国家自然科学基金，新疆教育厅资助项目 |
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| 摘 要： | 在锥序Banach向量空间引入了集值映射次微分(次梯度),在一定的条件下,证明次微分(次梯度)的存在性及它的一些性质;得到了集值优化问题严有效点集在次微分意义下的稳定性.
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| 关 键 词： | 集值优化 次微分 严有效性 次梯度 |
| 文章编号： | 0455-2059（2006）04-0135-05 |
| 收稿时间： | 2005-03-02 |
| 修稿时间： | 2005-03-02 |
The stability of strictly efficient points of set-valued optimization problem in the sense of subdifferential |
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| HOU Zhen-mei,WANG Xue-feng,ZHOU Yong. The stability of strictly efficient points of set-valued optimization problem in the sense of subdifferential[J]. Journal of Lanzhou University(Natural Science), 2006, 42(4): 135-139 |
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| Authors: | HOU Zhen-mei WANG Xue-feng ZHOU Yong |
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| Affiliation: | 1. Department of Statistics and Information, Xinjiang Institute of Finance and Economics, Urumqi 830013, China; 2. Department of Mathematics, Shihezi University, Shihezi 832000, Xinjiang, China |
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| Abstract: | A kind of subdifferential (subgradient) of set-valued mappings in ordered Banach vector spaces is introduced and its existence is proved by the separation theorem under certain conditions. The stability of strictly efficient points of set-valued optimization problem is obtained in the sense of subdifferential. |
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| Keywords: | set-valued optimization subdifferential strict efficiency subgradient |
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