Convexificators and strong Kuhn-Tucker conditions

被引：35

作者：

Golestani, M. ^{[1
]}

Nobakhtian, S. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 81745163, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 04期

关键词：

Multiobjective programming; Optimality conditions; Nonsmooth optimization; Convexificator; Constraint qualification; MULTIOBJECTIVE OPTIMIZATION PROBLEMS; PROGRAMMING-PROBLEMS; MULTIPLIER RULE;

D O I：

10.1016/j.camwa.2011.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is devoted to constraint qualifications and strong Kuhn-Tucker necessary optimality conditions for nonsmooth multiobjective optimization problems. The main tool of the study is the concept of convexificators. Mangasarian-Fromovitz type constraint qualification and several other qualifications are proposed and their relationships are investigated. In addition, sufficient optimality conditions are studied. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：550 / 557

页数：8

共 15 条

[1]

[Anonymous], 1990, CLASSICS APPL MATH

[2] Hunting for a smaller convex subdifferential [J].