Set containment characterization for quasiconvex programming

DOI10.1007/s10898-008-9389-4zbMath1185.26021OpenAlexW1991428401MaRDI QIDQ1041441

Daishi Kuroiwa, Satoshi Suzuki

Publication date: 2 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10898-008-9389-4

zbMATH Keywords

biquasiconjugatedual characterizationsevenly convex setsevenly quasiconvex functionquasiconjugate

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

On set containment characterization and constraint qualification for quasiconvex programming ⋮ Duality theorems for quasiconvex programming with a reverse quasiconvex constraint ⋮ Set containment characterization with strict and weak quasiconvex inequalities ⋮ On set containment characterizations for sets described by set-valued maps with applications ⋮ Strong and total Lagrange dualities for quasiconvex programming

Cites Work

• Unnamed Item
• 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
• 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
• Characterizing Set Containments Involving Infinite Convex Constraints and Reverse-Convex Constraints

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