title: The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space.
abstract: We present a subgradient extragradient method for solving variational inequalities in Hilbert space. In addition, we propose a modified version of our algorithm that finds a solution of a variational inequality which is also a fixed point of a given nonexpansive mapping. We establish weak convergence theorems for both algorithms.
authors.affiliation: Department of Mathematics, University of Haifa, Mt. Carmel, 31905 Haifa, Israel.
authors.forename: Y
authors.initials: Y
authors.lastname: Censor
authors.forename: A
authors.initials: A
authors.lastname: Gibali
authors.forename: S
authors.initials: S
authors.lastname: Reich