First and Second-Order Optimality Conditions for Convex Composite Multiobjective Optimization

被引：0
|
作者：
X. Q. Yang
V. Jeyakumar
机构：
[1] University of Western Australia,Department of Mathematics
[2] University of New South Wales,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 1997年 / 95卷
关键词：
Multiobjective optimization; nonsmooth analysis; convex analysis; sufficient optimality condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Multiobjective optimization is a useful mathematical model in order to investigate real-world problems with conflicting objectives, arising from economics, engineering, and human decision making. In this paper, a convex composite multiobjective optimization problem, subject to a closed convex constraint set, is studied. New first-order optimality conditions for a weakly efficient solution of the convex composite multiobjective optimization problem are established via scalarization. These conditions are then extended to derive second-order optimality conditions.
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页码：209 / 224
页数：15
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