Regularity Properties of a Semismooth Reformulation of Variational Inequalities

DOI10.1137/S1052623496298194zbMath0913.90249OpenAlexW2087973298MaRDI QIDQ4210335

Francisco Facchinei, Christian Kanzow, Andreas Fischer

Publication date: 21 September 1998

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1052623496298194

zbMATH Keywords

strong regularityvariational inequality problemKKT conditions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

A new active-set strategy for NCP with degenerate solutions, On the Convergence of Decoupled Optimal Power Flow Methods, Semismooth Newton-type method for bilevel optimization: global convergence and extensive numerical experiments, Regularity and well-posedness of a dual program for convex best \(C^{1}\)-spline interpolation, An active-set Levenberg-Marquardt method for degenerate nonlinear complementarity problem under local error bound conditions, Nonsingularity conditions for FB system of reformulating nonlinear second-order cone programming, Active-set Newton methods for mathematical programs with vanishing constraints, Unicidad para problemas de cuasi-equilibrio, A barrier function method for generalized Nash equilibrium problems, On the natural merit function for solving complementarity problems, Augmented Lagrangian methods under the constant positive linear dependence constraint qualification, Inverse and implicit function theorems forH-differentiable and semismooth functions, Solving nearly-separable quadratic optimization problems as nonsmooth equations, Boundedness and regularity properties of semismooth reformulations of variational inequalities, Smoothing Newton method for NCP with the identification of degenerate indices, Constrained optimal control of Navier--Stokes flow by semismooth Newton methods, A hybrid Josephy — Newton method for solving box constrained variational equality roblems via the D-gap function, Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method, Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities, Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

Uses Software

• PATH Solver