Implicit Iterative Methods for Nonconvex Variational Inequalities

摘要

In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under suitable weaker conditions. Our method of proof is very simple as compared with other techniques. Keywords Variational inequalities - Nonconvex sets - Monotone operators - Iterative method - Convergence Communicated by F. Giannessi.