Academic Editor: S. Reich
Copyright © 2010 S. Imnang and S. Suantai. 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 system of general variational inequalities in
Banach spaces. The equivalence between this system of variational inequalities
and fixed point problems concerning the nonexpansive mapping is established.
By using this equivalent formulation, we introduce an iterative scheme for finding
a solution of the system of variational inequalities in Banach spaces. Our main
result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob.