Subdifferential calculus for a quasiconvex function with generator

DOI10.1016/j.jmaa.2011.06.015zbMath1222.49023OpenAlexW2043483408MaRDI QIDQ719604

Satoshi Suzuki, Daishi Kuroiwa

Publication date: 10 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.015

zbMATH Keywords

monotonicitysubdifferentialquasiconvex functionmean-value theorem

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

Duality theorems for separable convex programming without qualifications ⋮ Characterizations of the solution set for tangentially convex optimization problems ⋮ Characterizations of the solution set for non-essentially quasiconvex programming ⋮ Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system ⋮ Duality theorems for quasiconvex programming with a reverse quasiconvex constraint ⋮ Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential ⋮ Optimality conditions and constraint qualifications for quasiconvex programming ⋮ Characterizations of the solution set for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential

Cites Work

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• On set containment characterization and constraint qualification for quasiconvex programming
• Mean value theorems and sufficient optimality conditions for nonsmooth functions
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Mean-value theorem with small subdifferentials
• Diewert-Crouzeix conjugation for general quasiconvex duality and applications
• Quasiconvex duality theory by generalized conjugation methods
• Characterisations of quasiconvex functions
• Mean Value Inequalities
• On Quasi-Convex Duality

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