Journal of Applied Mathematics
Volume 2012 (2012), Article ID 863450, 14 pages
http://dx.doi.org/10.1155/2012/863450
Research Article

Regularized Mixed Variational-Like Inequalities

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

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

Received 13 December 2011; Accepted 22 December 2011

Academic Editor: Yonghong Yao

Copyright © 2012 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 use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple as compared with other methods. Our results represent a significant refinement of the previously known results.