Farkas-type theorems for positively homogeneous semi-infinite systems

DOI10.1080/02331930500100205zbMath1077.90072OpenAlexW2002125323WikidataQ57836384 ScholiaQ57836384MaRDI QIDQ5317738

Marco A. López, Juan-Enrique Martinez-Legaz

Publication date: 21 September 2005

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500100205

zbMATH Keywords

linear systemsgeneralized convex conjugationpositively homogeneous functionsFarkas-type theoremssemi-infinite inequality systemsmin-type systems

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34) Duality theory (optimization) (49N15)

Related Items

Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces, Farkas' lemma: three decades of generalizations for mathematical optimization, Farkas-Type Theorems and Applications: From IPH Functions to ICR Functions, Robust alternative theorem for linear inequalities with applications to robust multiobjective optimization, Vector topical functions and Farkas type theorems with applications, Farkas' lemma for separable sublinear inequalities without qualifications, Farkas lemma for convex systems revisited and applications to sublinear-convex optimization problems

Cites Work

• Increasing convex-along-rays functions with applications to global optimization
• On $\Phi $-Convexity in Extremal Problems
• STABILITY OF SEMI-INFINITE INEQUALITY SYSTEMS INVOLVING MIN-TYPE FUNCTIONS