Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces

被引：22

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

页码：65 / 73

页数：9

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