| 目标函数扰动的集值优化问题的稳定性 |
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| 引用本文： | 侯震梅,周勇.目标函数扰动的集值优化问题的稳定性[J].应用数学,2006,19(2):289-295. |
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| 作者姓名： | 侯震梅 周勇 |
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| 作者单位： | 新疆财经学院统计与信息系,乌鲁木齐,830012 |
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| 摘 要： | 本文研究了由目标函数扰动的集值优化问题的有效点集所定义的集值映射的半连续性.讨论了目标函数扰动的集值优化问题在上半连续意义下的稳定性.特别地,在广义适定性条件下,证明了集值优化问题在上半连续意义下的稳定性.
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| 关 键 词： | 集值优化 适定性 稳定性 上半连续 |
| 文章编号： | 1001-9847(2006)02-0289-07 |
| 收稿时间： | 2005-05-23 |
| 修稿时间： | 2005年5月23日 |
The Stability of Set-valued Optimization Problems under Perturbed Objective Function |
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| HOU Zhen-mei,ZHOU Yong.The Stability of Set-valued Optimization Problems under Perturbed Objective Function[J].Mathematica Applicata,2006,19(2):289-295. |
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| Authors: | HOU Zhen-mei ZHOU Yong |
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| Institution: | Department of Statistics, Xinjiang institute of Finance and Economics , Urumqi 830012, China |
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| Abstract: | In this paper,we discuss the semicontinuity of set-valued mapping defined by the set of efficient points of set-valued optimization problems under perturbed objective function.We study the stability of set-valued optimization problems under perturbed objective function in the sense of upper semicontinuous.Especially,the stability of set-valued optimization problems is presented in the sense of upper semicontinuous under condition that the problem is extended well-posed. |
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| Keywords: | Set-valued optimization Well-posedness Stability Upper semicontinuous |
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