| Article ID: | iaor20112650 |
| Volume: | 148 |
| Issue: | 2 |
| Start Page Number: | 318 |
| End Page Number: | 335 |
| Publication Date: | Feb 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Censor Y, Gibali A, Reich S |
| Keywords: | maps, subgradient methods, Hilbert space |
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.