Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property

DOI10.1007/s10957-014-0546-2zbMath1315.90054OpenAlexW2164997203MaRDI QIDQ481045

Gue Myung Lee, Nguyen Huy Chieu

Publication date: 12 December 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0546-2

zbMATH Keywords

preservationinductionconstraint qualificationsmathematical programs with equilibrium constraintsisolatedness of local minimizers

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (12)

Constraint qualifications and stationary conditions for mathematical programming with non-differentiable vanishing constraints ⋮ A sharp Lagrange multiplier theorem for nonlinear programs ⋮ Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators ⋮ Relaxed constant positive linear dependence constraint qualification for disjunctive systems ⋮ Saddle point optimality criteria for mathematical programming problems with equilibrium constraints ⋮ Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators ⋮ Two new weak constraint qualifications for mathematical programs with equilibrium constraints and applications ⋮ On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints ⋮ New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences ⋮ Lagrange duality and saddle point optimality conditions for semi-infinite mathematical programming problems with equilibrium constraints ⋮ Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences ⋮ MPEC Methods for Bilevel Optimization Problems

Uses Software

• MacMPEC

Cites Work

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