Conjugate duality for multiobjective composed optimization problems

被引：7
作者：
Bot, R. I. [1 ]
Vargyas, E. [1 ]
Wanka, G. [1 ]
机构：
[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany
来源：
ACTA MATHEMATICA HUNGARICA | 2007年 / 116卷 / 03期
关键词：
composed convex functions; scalar duality; multiobjective duality; optimality conditions;
D O I：
10.1007/s10474-007-4273-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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收藏
页码：177 / 196
页数：20
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