On second order duality for minimax fractional programming

被引：11

作者：

Hu, Qingjie ^{[1
]}

Yang, Gang ^{[1
]}

Jian, Jinbao ^{[2
]}

机构：

[1] Hunan Univ Commerce, Sch Informat, Changsha 410205, Hunan, Peoples R China

[2] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期

关键词：

Minimax programming; Fractional programming; Second order duality; eta-bonvexity; OPTIMALITY CONDITIONS;

D O I：

10.1016/j.nonrwa.2011.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two types of second order duality for minimax fractional programming are formulated by introducing an additional vector r. The weak, strong and converse duality theorems are proved for these programs under eta-bonvexity assumptions. Several results including many recent works are obtained as special cases. (C) 2011 Published by Elsevier Ltd

引用

页码：3509 / 3514

页数：6

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