Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 371241, 10 pages
doi:10.1155/2011/371241
Research Article

Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions

Muhammad Aslam Noor,1,2 Khalida Inayat Noor,1 and Eisa Al-Said2

1Mathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
2Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Received 1 October 2010; Revised 4 January 2011; Accepted 10 January 2011

Academic Editor: Mohamed A. El-Gebeily

Copyright © 2011 Muhammad Aslam Noor et al. 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.

Abstract

We introduce and consider some new systems of extended general variational inclusions involving six different operators. We establish the equivalence between this system of extended general variational inclusions and the fixed points using the resolvent operators technique. This equivalent formulation is used to suggest and analyze some new iterative methods for this system of extended general variational inclusions. We also study the convergence analysis of the new iterative method under certain mild conditions. Several special cases are also discussed.