Duality on a nondifferentiable minimax fractional programming

被引：4
|
作者：
Lai, Hang-Chin [1 ,2 ]
Chen, Hui-Mei [1 ]
机构：
[1] Chung Yuan Christian Univ, Chungli, Taiwan
[2] Natl Tsing Hua Univ, Hsinchu, Taiwan
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 54卷 / 02期
关键词：
Minimax fractional programming; Weak duality theorem; Strong duality theorem; Strict converse duality theorem; OPTIMALITY CONDITIONS; SUFFICIENT CONDITIONS;
D O I：
10.1007/s10898-010-9631-8
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We establish the necessary and sufficient optimality conditions on a nondifferentiable minimax fractional programming problem. Subsequently, applying the optimality conditions, we constitute two dual models: Mond-Weir type and Wolfe type. On these duality types, we prove three duality theorems-weak duality theorem, strong duality theorem, and strict converse duality theorem.
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页码：295 / 306
页数：12
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