Some constraint qualifications for quasiconvex vector-valued systems

DOI10.1007/s10898-011-9807-xzbMath1267.90114OpenAlexW2057938832MaRDI QIDQ1945503

Satoshi Suzuki, Daishi Kuroiwa

Publication date: 8 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10898-011-9807-x

zbMATH Keywords

constraint qualificationquasiconvex programmingquasiaffine functionsvector-valued

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Convexity of real functions of several variables, generalizations (26B25)

Related Items (10)

Duality theorems for separable convex programming without qualifications ⋮ Nonlinear error bounds for quasiconvex inequality systems ⋮ 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 convex and quasiconvex set functions ⋮ 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

• Optimality conditions and the basic constraint qualification for quasiconvex programming
• On set containment characterization and constraint qualification for quasiconvex programming
• Constraint qualifications characterizing Lagrangian duality in convex optimization
• Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities
• An alternative formulation for a new closed cone constraint qualification
• Constraint Qualifications for Convex Inequality Systems with Applications in Constrained Optimization
• A characterization of quasiconvex vector-valued functions
• On Quasi-Convex Duality

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