Lagrange-type duality in DC programming

被引：10

作者：

Harada, Ryohei ^{[1
]}

Kuroiwa, Daishi ^{[2
]}

机构：

[1] Shimane Univ, Grad Sch Sci & Engn, Matsue, Shimane, Japan

[2] Shimane Univ, Matsue, Shimane, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 01期

关键词：

DC programming problem; Lagrange duality theorem;

D O I：

10.1016/j.jmaa.2014.04.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a Lagrange-type duality theorem for a DC programming problem, which is a generalization of previous results by J.-E. Martinez-Legaz, M. Volle [5] and Y. Fujiwara, D. Kuroiwa [1] when all constraint functions are real-valued. To the purpose, we decompose the DC programming problem into certain infinite convex programming problems. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：415 / 424

页数：10

共 5 条

[1] Lagrange duality in canonical DC programming [J].

Fujiwara, Yukari ;

Kuroiwa, Daishi .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 408 (02) :476-483

[2] Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities [J].

Goberna, M. A. ;

Jeyakumar, V. ;

Lopez, M. A. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) :1184-1194

[3] DC programming: Overview [J].

Horst, R ;

Thoai, NV .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (01) :1-43

[4]

Jeyakumar V., 2004, 048 AMR U NEW S WAL

[5] Duality in d.c. programming:: The case of several d.c. constraints [J].

Martínez-Legaz, JE ;

Volle, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 237 (02) :657-671

← 1 →