Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems. (11th June 2019)

• Record Type: Journal Article
• Authors: Khanh, Pham Duy; Mo, Tran Hong; Tran, Trinh T. T.
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 8(2019)
• Page Start: 924
• Page End: 943
• Publication Date: 2019-06-11
• Subjects: Closedness -- complementary slackness -- dual pair -- duality -- infinite dimensional linear programing -- separation theorem -- solvability; 90C05 -- 90C25 -- 90C46 -- 90C48; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1566244
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.