Research Article Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

We consider the solvability of generalized variational inequalities involving multivalued relaxedmonotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions. Our results improve and extend the recent ones announced by many others. Copyright © 2007 X. Qin and M. Shang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. Introduction an