| 关于多目标最优化问题的有效点 |
| |
| 引用本文： | 丘京辉. 关于多目标最优化问题的有效点[J]. 苏州大学学报(医学版), 1989, 0(1) |
| |
| 作者姓名： | 丘京辉 |
| |
| 作者单位： | 苏州大学数学系 |
| |
| 摘 要： | 本文证明了:在有序局部凸线性拓扑空间中,一个集合的有效点必为该集合的边界点或孤立点.本文还分别给出了使一点为一个集合的有效点、严格有效点和弱有效点的充分必要条件.此外,还证明了:在有序可分线性赋范空间中,每个非空弱紧集至少具一个有效点.
|
| 关 键 词： | 局部凸线性空间 有序局部凸线性拓扑空间 赋范空间 有效点 弱紧集 |
ON EFFICIENT POINTS IN MULTI-OBJECTIVE OPTIMIZATION PROBLEMS |
| |
| Qiu Jinghui. ON EFFICIENT POINTS IN MULTI-OBJECTIVE OPTIMIZATION PROBLEMS[J]. Journal of Suzhou University(Natural Science), 1989, 0(1) |
| |
| Authors: | Qiu Jinghui |
| |
| Affiliation: | Mathematics Department |
| |
| Abstract: | In this paper,it is proved that an efficient point of a set inan ordered locally convex linear topological space must be the boundary pointor isolated point of the set.The sufficient and necessary conditions fora point of a set to be efficient,strictly efficient or weakly efficient arerespectively given.Also,it is shown that any nonempty weakly compact setin an ordered separable normed space has at least an efficient point. |
| |
| Keywords: | locally convex linear spaces ordered locally convex linear topological spaces normed spaces efficient points weakly compact sets |
| 本文献已被 CNKI 等数据库收录！ |
