Duality for Multiobjective Bilevel Programming Problems with Extremal-Value Function

被引：1
|
作者：
Haijun WANG [1 ]
Ruifang ZHANG [1 ]
机构：
[1] Department of Mathematics,Taiyuan Normal University
来源：
Journal of Mathematical Research with Applications | 2015年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
multiobjective optimization; bilevel programming problems; conjugate duality; convex programming; composed convex functions;
D O I：
暂无
中图分类号：
O221 [规划论（数学规划）];
学科分类号：
070105 ; 1201 ;
摘要：
For a multiobjective bilevel programming problem(P) with an extremal-value function,its dual problem is constructed by using the Fenchel-Moreau conjugate of the functions involved.Under some convexity and monotonicity assumptions,the weak and strong duality assertions are obtained.
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页码：311 / 320
页数：10
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