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.

引用

页码：165 / 182

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