| 锥意义下有效解的连续性 |
| |
| 引用本文： | 陈源,向淑文. 锥意义下有效解的连续性[J]. 系统科学与数学, 2008, 28(7): 833-838 |
| |
| 作者姓名： | 陈源 向淑文 |
| |
| 作者单位： | 1. 衡阳师范学院数学系,衡阳,421008
2. 贵州大学理学院数学系,贵阳,550025 |
| |
| 摘 要： | 对于有效解的连续性和稳定性的研究,大多数结果局限于有限维空间中的讨论.从而对无限维空间中向量优化问题有效解的连续性,采取构造函数的方法、反证法和USCO的方法进行探讨,得到了锥意义下有效解本质的一个充分必要条件以及相应的其他结果.
|
| 关 键 词： | 锥 有效解 连续性 |
| 收稿时间： | 2006-05-22 |
| 修稿时间： | 2007-05-28 |
The Continuity of Efficient Solutions on the Cone |
| |
| CHEN Yuan,XIANG Shuwen. The Continuity of Efficient Solutions on the Cone[J]. Journal of Systems Science and Mathematical Sciences, 2008, 28(7): 833-838 |
| |
| Authors: | CHEN Yuan XIANG Shuwen |
| |
| Affiliation: | (1)Department of Mathematics, Hengyang Normal University, Hengyang 421008; (2)Department of Mathematics, Guizhou University, Guiyang 550025. |
| |
| Abstract: | There are many results on the continuity and the stability of efficient solutions in the finite dimensional space. In the present paper, the continuity of efficient solutions of vector optimization is considered in the infinite dimensional space, and a sufficient and necessary condition for the essentiality of efficient solutions on the cone is obtained by using constructive function method, reduction to absurdity and usco. |
| |
| Keywords: | Cone efficient solution continuity. |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
|
