OPTIMALITY CONDITIONS AND DUALITY FOR MINIMAX FRACTIONAL PROGRAMMING INVOLVING NONSMOOTH GENERALIZED UNIVEXITY

被引：2

作者：

Long, Xian-Jun ^{[1
]}

Quan, Jing ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

来源：

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2011年 / 1卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Minmax fractional programming; generalized univex functions; non-smooth; optimality condition; duality;

D O I：

10.3934/naco.2011.1.361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a parametric approach, we establish necessary and sufficient optimality conditions and derive some duality theorems for a class of nonsmooth minmax fractional programming problems containing generalized univex functions. The results obtained in this paper extend and improve some corresponding results in the literature.

引用

页码：361 / 370

页数：10

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