Farkas-Type Theorems and Applications: From IPH Functions to ICR Functions. (18th November 2018)

• Record Type: Journal Article
• Authors: Momenaei Kermani, V.; Doagooei, A. R.
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 15(2018)
• Page Start: 1690
• Page End: 1704
• Publication Date: 2018-11-18
• Subjects: Abstract convexity -- constrained optimization -- Farkas-type theorems -- ICR functions -- IPH functions; 90C34 -- 26B25 -- 26A48; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1490755
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Some versions of Farkas-type theorems for systems of inequalities consisting of Increasing and Positively Homogeneous (IPH) functions are established. Applying these results, we establish Farkas-type theorems for the systems involving Increasing and Coradiant (ICR) functions as well. As an application, we apply these results to solve constrained IPH and ICR optimization problems with unconstrained counterparts.