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.
Parametric set-valued vector quasi-equilibrium problems.
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions.
Projective algorithms for solving complementarity problems.
Pseudomonotonicity and related properties in Euclidean Jordan algebras.
Quantized cooperative output regulation of continuous-time multi-agent systems over switching graph
This paper investigates the problem of quantized cooperative output regulation of linear multi-agent systems with switching graphs. A novel dynamic encoding-decoding scheme with a finite communication bandwidth is designed. Leveraging this scheme, a distributed protocol is proposed, ensuring asymptotic convergence of the tracking error under both bounded and unbounded link failure durations. Compared with the existing quantized control work of MASs, the semi-global assumption of initial conditions...
Quasivariational inequalities for a dynamic competitive economic equilibrium problem.
Regularization method for stochastic mathematical programs with complementarity constraints
In this paper, we consider a class of stochastic mathematical programs with equilibrium constraints (SMPECs) that has been discussed by Lin and Fukushima (2003). Based on a reformulation given therein, we propose a regularization method for solving the problems. We show that, under a weak condition, an accumulation point of the generated sequence is a feasible point of the original problem. We also show that such an accumulation point is S-stationary to the problem under additional assumptions.
Regularization method for stochastic mathematical programs with complementarity constraints
In this paper, we consider a class of stochastic mathematical programs with equilibrium constraints (SMPECs) that has been discussed by Lin and Fukushima (2003). Based on a reformulation given therein, we propose a regularization method for solving the problems. We show that, under a weak condition, an accumulation point of the generated sequence is a feasible point of the original problem. We also show that such an accumulation point is S-stationary to the problem under additional assumptions....