Convexificators and strong Kuhn-Tucker conditions

被引：34
|
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.
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页码：550 / 557
页数：8
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