Linear representations and quasipolyhedrality of a finite-valued convex function

DOI10.1080/02331930701779864zbMath1191.90086OpenAlexW2016119310MaRDI QIDQ3498589

Rubén Puente, Marco A. López, M. D. Fajardo

Publication date: 15 May 2008

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/8374

zbMATH Keywords

conjugate functionValadier formulaquasipolyhedral convex setssemi-infinite linear inequality systemssubdifferential and \(\varepsilon \)-subdifferential

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

Some results on quasipolyhedral convexity ⋮ Recent contributions to linear semi-infinite optimization ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Selected applications of linear semi-infinite systems theory

Cites Work

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• Locally Farkas-Minkowski linear inequality systems
• Locally polyhedral linear inequality systems
• Locally Farkas-Minkowski systems in convex semi-infinite programming
• Simplex-Like Trajectories on Quasi-Polyhedral Sets

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