Accelerating the convergence rate of a combined relaxational method (Q1569314)

It is well-known that combined relaxational methods for solving various equilibrium problems converge under sufficiently general assumptions. A method for solving variational inequalities with a locally Lipschitz mapping is proposed in the present paper. This method is a modification and generalization of known methods of this type. At the same time, it provides the linear convergence for a wider class of problems.