Facial approach for constructing stationary points for mathematical programs with cone complementarity constraints

Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

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Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions
First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
Mathematical programs with complementarity constraints in Banach spaces
Variational geometry of the complementarity set for second order cone
Exact formulas for the proximal/regular/limiting normal cone of the second-order cone complementarity set
Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints
Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems
Is bilevel programming a special case of a mathematical program with complementarity constraints?
First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints
Theory of cones
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
Generalized differential calculus for nonsmooth and set-valued mappings
Complementarity and nondegeneracy in semidefinite programming
On Fréchet subdifferentials
On semidefinite linear complementarity problems
Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
A second order cone complementarity approach for the numerical solution of elastoplasticity problems
On the connection of facially exposed and nice cones
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints
MPCC: strong stability of \(m\)-stationary points
On properties of the bilinear penalty function method for mathematical programs with semidefinite cone complementarity constraints
Is pessimistic bilevel programming a special case of a mathematical program with complementarity constraints?
Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method
Linear complementarity problems over symmetric cones: characterization of \(Q _{b }\)-transformations and existence results
A descent method for a reformulation of the second-order cone complementarity problem
Box-constrained minimization reformulations of complementarity problems in second-order cones
Two approaches for solving mathematical programs with second-order cone complementarity constraints
Semicontinuity of the face-function of a convex set
The lattice of faces of a finite dimensional cone
Perturbation analysis of second-order cone programming problems
An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications
Mathematical programs with complementarity constraints: stationarity, optimality, and sensi\-tivity.
Smoothing functions for second-order-cone complementarity problems
Weak and strong stationarity in generalized bilevel programming and bilevel optimal control
Optimality Conditions for a Simple Convex Bilevel Programming Problem
Smoothing method for mathematical programs with symmetric cone complementarity constraints
Duality of non-exposed faces
First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints
First Order Conditions for General Nonlinear Optimization
Faces and duality in convex cones
Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
Variational Analysis and Applications
Necessary optimality conditions for a special class of bilevel programming problems with unique lower level solution
Optimality conditions for the simple convex bilevel programming problem in Banach spaces
The limiting normal cone of a complementarity set in Sobolev spaces
Optimality Conditions for Optimization Problems with Complementarity Constraints
On the Calmness of a Class of Multifunctions
Facially Exposed Cones Are Not Always Nice
MPCC: strongly stable C-stationary points when the number of active constraints is n + 1
New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions
Exact Formula for the Second-Order Tangent Set of the Second-Order Cone Complementarity Set
New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
On Using the Elastic Mode in Nonlinear Programming Approaches to Mathematical Programs with Complementarity Constraints
Interior Methods for Mathematical Programs with Complementarity Constraints
Local Convergence of SQP Methods for Mathematical Programs with Equilibrium Constraints
Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems
Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals
Mathematical Programs with Equilibrium Constraints
Handbook of semidefinite programming. Theory, algorithms, and applications
New constraint qualifications for mathematical programs with second-order cone complementarity constraints
A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints

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