Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 689478, 17 pages
System of General Variational Inequalities Involving Different Nonlinear Operators Related to Fixed Point Problems and Its Applications
1Department of Mathematics and computer, Faculty of Science and Technology, Uttaradit Rajabhat University, Uttaradit 53000, Thailand
2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand
3Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Received 5 October 2010; Revised 11 November 2010; Accepted 9 December 2010
Academic Editor: Qamrul Hasan Ansari
Copyright © 2011 Issara Inchan and Narin Petrot. 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.
By using the projection methods, we suggest and analyze the iterative schemes for
finding the approximation solvability of a system of general variational inequalities involving different nonlinear
operators in the framework of Hilbert spaces. Moreover, such solutions are also fixed points of a Lipschitz
mapping. Some interesting cases and examples of applying the main results are discussed and showed. The
results presented in this paper are more general and include many previously known results as special cases.