On M-stationarity conditions in MPECs and the associated qualification conditions

DOI10.1007/s10107-017-1146-3zbMath1454.65039OpenAlexW2605781200MaRDI QIDQ2413087

Lukáš Adam, René Henrion, Jiří V. Outrata

Publication date: 6 April 2018

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-017-1146-3

zbMATH Keywords

optimality conditionscalmnessconstraint qualificationmathematical programs with equilibrium constraintsperturbation mapping

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31)

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Generic Property of the Partial Calmness Condition for Bilevel Programming Problems ⋮ The last dozen of years of or research in Czechia and Slovakia ⋮ New sharp necessary optimality conditions for mathematical programs with equilibrium constraints ⋮ Non-smooth DC-constrained optimization: constraint qualification and minimizing methodologies ⋮ Unnamed Item ⋮ Large-scale unit commitment under uncertainty: an updated literature survey ⋮ Optimality conditions for the simple convex bilevel programming problem in Banach spaces ⋮ New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis ⋮ Linearized M-stationarity conditions for general optimization problems ⋮ Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming ⋮ Constraint Qualifications and Optimality Conditions in Bilevel Optimization ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ Calmness and calculus: two basic patterns

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