Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

被引：5

作者：

Bae, Kwan Deok ^{[1
]}

Kim, Do Sang ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

基金：

新加坡国家研究基金会;

关键词：

Nonsmooth multiobjective programming; strict minimizers; optimality conditions; duality; 2ND-ORDER SUFFICIENT CONDITIONS; VECTOR OPTIMIZATION; STRICT MINIMALITY; LOCAL MINIMA;

D O I：

10.1186/1687-1812-2011-42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. We formulate Mond-Weir type dual problem and establish weak and strong duality theorems for a strict minimizer of order m.

引用

页码：1 / 11

页数：11

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