Some results about the facial geometry of convex semi-infinite systems

DOI10.1080/02331930600816080zbMath1134.90509OpenAlexW1989104718MaRDI QIDQ3426239

M. D. Fajardo, Marco A. López

Publication date: 8 March 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/8361

zbMATH Keywords

constraint qualificationsSlater conditionfacial structure of the feasible setsemi-infinite convex inequalities systems

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Semi-infinite programming (90C34) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Recent contributions to linear semi-infinite optimization ⋮ Optimality conditions for convex semi-infinite programming problems with finitely representable compact index sets ⋮ Implicit optimality criterion for convex SIP problem with box constrained index set ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Optimality criteria without constraint qualifications for linear semidefinite problems ⋮ Convex semi-infinite programming: Implicit optimality criterion based on the concept of immobile indices

Cites Work

• Locally Farkas-Minkowski linear inequality systems
• Locally Farkas-Minkowski systems in convex semi-infinite programming
• Constraint Qualifications for Semi-Infinite Systems of Convex Inequalities
• Dimension and finite reduction in linear semi-infinite programming

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