Some Farkas-type results for fractional programming problems with DC functions

被引：8
|
作者：
Zhang, Xiang-Hui [1 ]
Cheng, Cao-Zong [1 ]
机构：
[1] Beijing Univ Technol, Dept Math, Beijing 100022, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期
关键词：
Fractional programming; Farkas-type results; DC functions; Conjugate duality; DUALITY; CONSTRAINTS;
D O I：
10.1016/j.nonrwa.2008.02.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a kind of fractional programming problem that the objective functions are the ratio of two DC (difference of convex) functions with finitely many convex constraints, in this paper, its dual problems are constructed, weak and strong duality assertions are given, and some sufficient and necessary optimality conditions which characterize their optimal Solutions are obtained. Some recently obtained Farkas-type results for fractional programming problems that the objective functions are the ratio of a convex function to a concave function with finitely many convex constraints are the special cases of the general results of this paper. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1679 / 1690
页数：12
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