Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems

被引：3

作者：

Pham Duy Khanh ^{[1
,2
]}

Tran Hong Mo ^{[3
]}

Tran, Trinh T. T. ^{[4
]}

机构：

[1] HCMC Univ Pedag, Dept Math, Ho Chi Minh City, Vietnam

[2] Univ Chile, Ctr Math Modeling, Santiago, Chile

[3] Tien Giang Univ, My Tho, Tien Giang Prov, Vietnam

[4] Oakland Univ, Dept Math & Stat, Rochester, MI 48063 USA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 08期

关键词：

Closedness; complementary slackness; dual pair; duality; infinite dimensional linear programing; separation theorem; solvability; DUALITY;

D O I：

10.1080/01630563.2019.1566244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article. As illustrations for the results, we investigate the parametric version of Gale's example.

引用

页码：924 / 943

页数：20

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