Extended well-posedness properties of vector optimization problems

被引：0
|
作者：
Huang, X.X. [1 ,2 ]
机构：
[1] Dept. of Math. and Computer Science, Chongqing Normal University, Chongqing, China
[2] School of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia
来源：
Journal of Optimization Theory and Applications | 2000年 / 100卷 / 02期
关键词：
Multiobjective optimization - Variational techniques;
D O I：
10.1023/a:1004615325743
中图分类号：
学科分类号：
摘要：
In this paper, the concept of extended well-posedness of scalar optimization problems introduced by Zolezzi is generalized to vector optimization problems in three ways: weakly extended well-posedness, extended well-posedness, and strongly extended well-posedness. Criteria and characterizations of the three types of extended well-posedness are established, generalizing most of the results obtained by Zolezzi for scalar optimization problems. Finally, a stronger vector variational principle and Palais-Smale type conditions are used to derive sufficient conditions for the three types of extended well-posedness.
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页码：165 / 182
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