Set containment characterization with strict and weak quasiconvex inequalities

DOI10.1007/s10898-009-9473-4zbMath1190.90127OpenAlexW2064059852MaRDI QIDQ975772

Satoshi Suzuki

Publication date: 11 June 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9473-4

zbMATH Keywords

quasiconvex constraintsset containmentquasiconjugate functionreverse-convex set

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46)

Related Items (2)

Duality theorems for quasiconvex programming with a reverse quasiconvex constraint ⋮ On set containment characterizations for sets described by set-valued maps with applications

Cites Work

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• Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications
• Set containment characterization for quasiconvex programming
• Set containment characterization
• Diewert-Crouzeix conjugation for general quasiconvex duality and applications
• Dual characterizations of set containments with strict convex inequalities
• Analyzing linear systems containing strict inequalities via evenly convex hulls
• The lower semi-continuous quasi-convex hull as a normalized second conjugate
• Conjugate functionals and level sets
• Characterizing Set Containments Involving Infinite Convex Constraints and Reverse-Convex Constraints
• On Quasi-Convex Duality

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