节点文献
不可微多目标优化非控解的最优性条件与对偶
Duality and Optimality Conditions for Nonsmooth Multiobjective Programming
【摘要】 本文对由一类局部Lipschitz的ρ-invex函数所构成的不可微多目标优化问题进行了讨论;给出了最优性条件,并且对Wolfe、Weir-Mond和Craven型对偶问题进行了研究,得到了相应的对偶定理。
【Abstract】 Optimality Condition and Saddle point condition for a kind of nonsmooth multiobjective programming whose objective and constraint functions are local Lipschitz are obtained. Then for this kind of programming,three kinds of duality models are discussed,and corresponding duality theorems are established.
【关键词】 ρ-invex函数;
不可微多目标优化;
非控解;
最优性条件;
对偶;
【Key words】 p-invex function; Nonsmooth multiobjective programming; Nondominated solution; Optimality conditions; Duality.;
【Key words】 p-invex function; Nonsmooth multiobjective programming; Nondominated solution; Optimality conditions; Duality.;
【基金】 国家自然科学基金;吉林省青年基金
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,1995年04期
- 【分类号】O224
- 【被引频次】2
- 【下载频次】32