A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints
From MaRDI portal
Publication:3436940
DOI10.1007/0-387-34221-4_6zbMath1125.90062OpenAlexW1249636636MaRDI QIDQ3436940
M. L. Flegel, Christian Kanzow
Publication date: 11 May 2007
Published in: Optimization with Multivalued Mappings (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/0-387-34221-4_6
Minimax problems in mathematical programming (90C47) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (19)
Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints ⋮ Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications ⋮ Optimal Control Problems with Terminal Complementarity Constraints ⋮ Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints ⋮ The limiting normal cone to pointwise defined sets in Lebesgue spaces ⋮ MPCC strategies for nonsmooth nonlinear programs ⋮ Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming ⋮ Comparison of optimality systems for the optimal control of the obstacle problem ⋮ On approximate stationary points of the regularized mathematical program with complementarity constraints ⋮ Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints ⋮ Notes on some constraint qualifications for mathematical programs with equilibrium constraints ⋮ On estimating the regular normal cone to constraint systems and stationarity conditions ⋮ On the Karush-Kuhn-Tucker reformulation of the bilevel optimization problem ⋮ First- and second-order optimality conditions for mathematical programs with vanishing constraints. ⋮ Convergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity Constraints ⋮ Towards M-stationarity for Optimal Control of the Obstacle Problem with Control Constraints ⋮ Weak and strong stationarity in generalized bilevel programming and bilevel optimal control ⋮ Reformulation of the M-Stationarity Conditions as a System of Discontinuous Equations and Its Solution by a Semismooth Newton Method ⋮ MPEC Methods for Bilevel Optimization Problems
This page was built for publication: A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints