|本期目录/Table of Contents|

[1]李睿,黄龙光.一类锥优化问题有效集序列的稳定性[J].集美大学学报(自然科学版),2016,21(1):67-72.
　LI Rui,HUANG Long-guang.Stability of the Sequence of Efficient Sets for a Kind of Cone Optimization Problem[J].Journal of Jimei University,2016,21(1):67-72.
点击复制

一类锥优化问题有效集序列的稳定性(PDF)
分享到：

《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第21卷
期数:
2016年第1期
页码:
67-72
栏目:
数理科学与信息工程
出版日期:
2016-01-28

文章信息/Info

Title:
Stability of the Sequence of Efficient Sets for a Kind of Cone Optimization Problem
作者:
李睿; 黄龙光
（集美大学理学院，福建 厦门 361021）
Author(s):
LI Rui; HUANG Long-guang
(School of Science，Jimei University，Xiamen 361021，China)
关键词:
有效集序列; 真拟锥凸; 单位相对紧性; 强收敛性
Keywords:
sequence of efficient sets; proper quasiconvex cone; unit relative compactness; strongly convergence
分类号:
-
DOI:
-
文献标志码:
A
摘要:
通过引入集列的单位相对紧性和函数的强收敛性，研究赋范线性空间中一类真拟锥凸映射向量优化问题有效集序列的稳定性，并利用集合序列的Kuratowski-Painlevé收敛性，给出向量优化问题的有效集、弱有效集及Henig有效集序列的收敛性及稳定性条件.
Abstract:
The stability of the sequence of efficient sets for a kind of proper quasiconvex cone mapping vector optimization problem in the norm linear space was studied by introducing the unit relative compactness of set sequence and the strongly convergence of function.The conditions of the convergence and stability of the sequence of the efficient set,weakly efficient set and Henig efficient set were given in the vector optimization problem by using Kuratowski-Painlevé convergence of the sequence of sets.

参考文献/References:

-

相似文献/References:

备注/Memo

备注/Memo:
-
更新日期/Last Update: 2016-03-11