Conjugate duality for multiobjective composed optimization problems

被引：0
|
作者：
R. I. Boţ
E. Vargyas
G. Wanka
机构：
[1] Chemnitz University of Technology,Faculty of Mathematics
来源：
Acta Mathematica Hungarica | 2007年 / 116卷
关键词：
composed convex functions; scalar duality; multiobjective duality; optimality conditions; 90C25; 90C29; 90C46;
D O I：
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学科分类号：
摘要：
Given a multiobjective optimization problem with the components of the objective function as well as the constraint functions being composed convex functions, we introduce, by using the Fenchel-Moreau conjugate of the functions involved, a suitable dual problem. Under a standard constraint qualification and some convexity as well as monotonicity conditions we prove the existence of strong duality. Finally, some particular cases of this problem are presented.
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页码：177 / 196
页数：19
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