Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 687374, 14 pages
Research Article

An Iterative Scheme with a Countable Family of Nonexpansive Mappings for Variational Inequality Problems in Hilbert Spaces

1Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, South Korea
2School of Applied Mathematics and Physics, North China Electric Power University, Baoding 071003, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, South Korea

Received 13 December 2009; Accepted 8 February 2010

Academic Editor: Jong Kim

Copyright © 2010 Yeol Je Cho and Shenghua Wang. 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.


We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.