| 有效点和弱有效点的稳定性 |
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| 引用本文： | 宋军,龚循华. 有效点和弱有效点的稳定性[J]. 南昌大学学报(理科版), 2006, 30(3): 205-208 |
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| 作者姓名： | 宋军 龚循华 |
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| 作者单位： | 南昌大学,数学系,江西,南昌,330047;南昌大学,数学系,江西,南昌,330047 |
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| 基金项目： | 国家自然科学基金;南昌大学校科研和教改项目 |
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| 摘 要： | 利用集合序列的P—K收敛的概念，在控制锥是正则锥但未必具有有界基的情况下，讨论了向量值优化和集值优化问题的有效点的稳定性，改进了[2]中相应的结论。另外，还给出了向量值优化和集值优化问题的弱有效点的稳定性，得到了线性算子下的稳定性结果。
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| 关 键 词： | 有效点 P-K收敛 正则锥 稳定性 |
| 文章编号： | 1006-0464（2006）03-0205-04 |
| 收稿时间： | 2005-07-27 |
| 修稿时间： | 2005-07-27 |
Stability of Efficient Points and Weak Efficient Points |
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| SONG Jun,GONG Xun-hua. Stability of Efficient Points and Weak Efficient Points[J]. Journal of Nanchang University(Natural Science), 2006, 30(3): 205-208 |
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| Authors: | SONG Jun GONG Xun-hua |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang 330047, China |
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| Abstract: | This paper investigates the stability of the sets of efficient points of vector - valued and set - valued optimization problems when the control cone is regular but need not have a bounded base in the sense of Painleve - Kuratowski convergence of set sequence. Our results improve those obtained by X. X. Huang in [ 1 ]. Besides this,this paper also investigates the stability of the sets of weak efficient points of vector - valued and set - valued optimization problems and obtains the stability result under the linear operators. |
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| Keywords: | efficient point Painleve - Kuratowski convergence regular cone stability |
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