| 最优化问题近似解的稳定性 |
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| 引用本文： | 姚金兰,梁汝佳,曲立敏,韩晓艳. 最优化问题近似解的稳定性[J]. 贵州工业大学学报(自然科学版), 2006, 35(3): 7-10 |
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| 作者姓名： | 姚金兰 梁汝佳 曲立敏 韩晓艳 |
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| 作者单位： | 1. 贵州大学理学院,贵州,贵阳,550003
2. 佛山市中心业余体校,广东,佛山,528000 |
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| 摘 要： | 对定义在紧距离空间上连续函数的最优化问题近似解的稳定性进行了系统的研究,得到任何最优化问题的近似解都是稳定的,另外精确解是近似解集的本质点。
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| 关 键 词： | usco映射 本质近似解 本质精确解 稳定性 |
| 文章编号： | 1009-0193（2006）03-0007-04 |
| 收稿时间： | 2005-10-24 |
| 修稿时间： | 2005-10-24 |
The Stability of Approximate Solutions of Optimization Problems |
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| YAO Jin-lan,LIANG Ru-jia,QU Li-min,HAN Xiao-yan. The Stability of Approximate Solutions of Optimization Problems[J]. Journal of Guizhou University of Technology(Natural Science Edition), 2006, 35(3): 7-10 |
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| Authors: | YAO Jin-lan LIANG Ru-jia QU Li-min HAN Xiao-yan |
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| Affiliation: | 1. College of Science, Guizhou University, Guiyang 550003, China; 2. Foshan Central Amateur Athletic School, Foshan 528000, China |
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| Abstract: | The stability of approximate solutions of optimization problems is studied and the continuous function is defined in the compact distance space.It is proved that all approximate solutions of optimization problems are stable;especially all accurate solutions are the essential points of the set of approximate solution. |
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| Keywords: | usco mapping essential approximate solution essential accurate solution stability |
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