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.

引用

页码：295 / 306

页数：12

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