Optimality Conditions and Duality in Nonsmooth Multiobjective Programs

被引：0
|
作者：
DoSang Kim
HyoJung Lee
机构：
[1] Pukyong National University,Division of Mathematical Sciences
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Optimality Condition; Programming Problem; Regularity Condition; Dual Problem; Lipschitz Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced. Sufficient optimality conditions are presented by using generalized convexity and certain regularity conditions. We formulate Wolfe-type dual and Mond-Weir-type dual problems for our nonsmooth multiobjective problems and establish duality theorems for (weak) Pareto-optimal solutions under generalized convexity assumptions and regularity conditions.
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