Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces

DOI10.1016/j.na.2012.05.002zbMath1247.90276OpenAlexW2001248647MaRDI QIDQ450594

A. R. Doagooei

Publication date: 13 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.05.002

zbMATH Keywords

abstract convexityFarkas-type theoremincreasing and positively homogeneous (IPH) functionnormal setsemi-infinite inequality system

Mathematics Subject Classification ID

Semi-infinite programming (90C34) Convexity of real functions in one variable, generalizations (26A51) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (5)

Nonlinear programming via König's maximum theorem ⋮ Vector topical function, abstract convexity and image space analysis ⋮ Farkas' lemma: three decades of generalizations for mathematical optimization ⋮ Farkas-Type Theorems and Applications: From IPH Functions to ICR Functions ⋮ Vector topical functions and Farkas type theorems with applications

Cites Work

• Unnamed Item
• Set containment characterization
• Dual characterizations of the set containments with strict cone-convex inequalities in Banach spaces
• Characterizations of solution sets of convex vector minimization problems
• STABILITY OF SEMI-INFINITE INEQUALITY SYSTEMS INVOLVING MIN-TYPE FUNCTIONS
• Abstract convexity:examples and applications
• Farkas-type theorems for positively homogeneous semi-infinite systems
• Monotonic analysis over ordered topological vector spaces: I

This page was built for publication: Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces