Numerical methods for solving variational inequalities

Numerical Methods for Solving Variational Inequalities and Complementarity Problems

Iterative Methods for Solving Trifunction Variational Inequalities

In this paper, we introduce and consider a class of variational inequalities, which is called the trifunction variational inequality. We use the auxiliary principle technique to suggest and analyze an implicit iterative methods for solving the trifunction variational inequalities. We study the convergence criteria of this new method under pseudomomotonicity condition, which is weaker condition ...

Iterative Methods for Solving Nonconvex Equilibrium Variational Inequalities

n this paper, we introduce and consider a new class of equilibrium problems and variational inequalities which is called the nonconvex equilibrium variational inequality. We suggest and analyze some iterative methods for solving the nonconvex equilibrium variational inequalities using the auxiliary principle technique. We prove that the convergence of implicit method requires only monotonicity....

Iterative Methods for Solving General Nonlinear Quasi-Variational Inequalities

This paper presents some iterative methods for solving the general nonlinear quasi-variational inequality problem and consider the convergence criteria of the iterative schemes under certain conditions. Some special cases are also discussed.

Homotopy Methods for Solving Variational Inequalities in Unbounded Sets

In this paper, for solving the finite-dimensional variational inequality problem ðx x ÞFðx ÞP0; 8x 2 X; where F is a C ðr > 1Þ mapping from X to R, X 1⁄4 fx 2 R : gðxÞO0g is nonempty (not necessarily bounded) and gðxÞ :R ! R is a convex Crþ1 mapping, a homotopy method is presented. Under various conditions, existence and convergence of a smooth homotopy path from almost any interior initial poi...