On the Iterative Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach Space

Abstract

This paper continues the series of investigations of the authors concerning approximate methods for solving variational inequalities with nonsmooth and unbounded operators in Banach spaces. Our previous works were devoted to penalty and regularization methods and contained convergence and stability results. Here we prove convergence theorems for iterative processes and establish asymptotic estimates of their convergence rate.