Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces

被引：23
作者：
Brandao, AJV [1 ]
Rojas-Medar, MA
Silva, GN
机构：
[1] UFOP, ICEB, Dept Math, Ouro Preto, MG, Brazil
[2] UNICAMP, IMECC, Dept Appl Math, Campinas, SP, Brazil
[3] Univ Estadual Paulista, Dept Comp Sci & Stat, Sao Jose Do Rio Preto, SP, Brazil
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 103卷 / 01期
关键词：
vector optimization; optimality conditions; nonsmooth duality; invexity;
D O I：
10.1023/A:1021769232224
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.
引用
收藏
页码：65 / 73
页数：9
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