A UNIFIED NONLINEAR AUGMENTED LAGRANGIAN APPROACH FOR NONCONVEX VECTOR OPTIMIZATION

被引：0
作者：
Chen, Chunrong [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2011年 / 1卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Vector optimization; nonlinear augmented Lagrangian; duality; exact penalization; set-valued maps;
D O I：
10.3934/naco.2011.1.495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a unified nonlinear augmented Lagrangian dual approach for a nonconvex vector optimization problem by applying a class of vector-valued nonlinear augmented Lagrangian penalty functions. We establish weak and strong duality results, necessary and sufficient conditions for uniformly exact penalization and exact penalization in the framework of nonlinear augmented Lagrangian.
引用
收藏
页码：495 / 508
页数：14
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