On Bilevel Variational Inequalities Arising in the Analysis of Improper Optimization Problems
On computation of C-stationary points for equilibrium problems with linear complementarity constraints via homotopy method
In the paper we consider EPCCs with convex quadratic objective functions and one set of complementarity constraints. For this class of problems we propose a possible generalization of the homotopy method for finding stationary points of MPCCs. We analyze the difficulties which arise from this generalization. Numerical results illustrate the performance for randomly generated test problems.
On equilibrium problems.
On multigrid for linear complementarity problems with application to American-style options.
On quasi-solution to infeasible linear complementarity problem obtained by Lemke’s method
For a linear complementarity problem with inconsistent system of constraints a notion of quasi-solution of Tschebyshev type is introduced. It’s shown that this solution can be obtained automatically by Lemke’s method if the constraint matrix of the original problem is copositive plus or belongs to the intersection of matrix classes P 0 and Q 0.
On the existence of weak solutions for degenerate systems of variational inequalities with critical growth
We prove the existence of solutions to systems of degenerate variational inequalities.
On the generalized strongly nonlinear implicit variational inequalities in reflexive Banach spaces
On the implicit programming approach in a class of mathematical programs with equilibrium constraints
On the nonlinear implicit complementarity problem.
On the velocity projection map for polyhedral Skorokhod problems.
On Tridiagonal Linear Complementary Problems.
Operator-splitting methods for general mixed variational inequalities.