Gauss-Seidel type algorithms for a class of variational inequalities

A Class of Globally Convergent Algorithms for Pseudomonotone Variational Inequalities

We describe a fairly broad class of algorithms for solving variational inequalities, global convergence of which is based on the strategy of generating a hyperplane separating the current iterate from the solution set. The methods are shown to converge under very mild assumptions. Specifically, the problem mapping is only assumed to be continuous and pseudomonotone with respect to at least one ...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

A Class of Variational Inequalities in Electronics

Then we will show that in using Kirchhoff’s laws together with the superpotential approach of Moreau we may introduce a general mathematical formalism which can be used to study a large class of circuits in electronics. We will see that the study of such formalism may be reduced to the one of a class of variational inequalities of the second kind, more precisely, variational inequalities of the...

On a Class of Variational Inequalities

In this paper, we introduce and study a new unified and general class of variational inequalities. We derive the general error estimates for the finite element solutions of variational inequalities. It has been shown that a class of contact problems with friction terms arising in elastostatics can be studied in the framework of variational inequalities. Several special cases, which can be obtai...

L∞-error Estimates for a Class of Semilinear Elliptic Variational Inequalities and Quasi-variational Inequalities

This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and QVIs. We also prove that this approach ext...