Strong Duality for Proper Efficiency in Vector Optimization

被引:0
作者
P. H. Sach
D. S. Kim
G. M. Lee
机构
[1] Institute of Mathematics,Department of Applied Mathematics
[2] Pukyong National University,undefined
来源
Journal of Optimization Theory and Applications | 2006年 / 130卷
关键词
Multiobjective programs; properly efficient points; duality;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we give counterexamples showing that the strong duality results obtained in Refs. 1–5 for several dual problems of multiobjective mathematical programs are false. We provide also the conditions under which correct results can be established.
引用
收藏
页码:139 / 151
页数:12
相关论文
共 24 条
[1]  
EGUDO R. R.(1987)Multiobjective Duality with Invexity Journal of Mathematical Analysis and Applications 126 469-477
[2]  
HANSON M. A.(1994)Sufficiency and Duality Multiobjective Programming Involving Generalized F-Convex Functions Journal of Mathematical Analysis and Applications 183 181-195
[3]  
GULATI T. R.(1987)Proper Efficiency and Duality for Vector-Valued Optimization Problems Journal of the Australian Mathematical Society 43A 21-34
[4]  
ISLAM M. A.(1988)Preinvex Functions in Multiple-Objective Optimization Journal of Mathematical Analysis and Applications 136 29-38
[5]  
WEIR T.(1968)Proper Efficiency and the Theory of Vector Optimization Journal of Mathematical Analysis and Applications 22 618-630
[6]  
WEIR T.(1994)Optimization of Set-Valued Functions Journal of Mathematical Analysis and Applications 186 30-51
[7]  
MOND B.(2000)Generalized Invexity and Duality in Multiobjective Programing Problems Journal of Global Optimization 18 91-101
[8]  
GEOFFRION A. M.(2001)On Duality Theorems for Nonsmooth Lipschitz Optimization Problems Journal of Optimization Theory and Applications 110 669-675
[9]  
LIN L. J.(2001)Optimality and Duality for Nonsmooth Multiobjective Fractional Programming with Generalized Invexity Journal of Mathematical Analysis and Applications 262 365-375
[10]  
AGHEZZAF B.(1996)Mixed-Type Duality in Multiobjective Programming Problems Journal of Mathematical Analysis and Applications 198 621-635