International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 14, Pages 2299-2306

Three-step iterations for mixed quasi variational-like inequalities

Muhammad Aslam Noor

Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

Received 19 December 2004; Revised 8 May 2005

Copyright © 2005 Muhammad Aslam Noor. 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.


In this paper, we use the auxiliary principle technique in conjunction with the Bregman function to suggest and analyze a three-step predictor-corrector method for solving mixed quasi variational-like inequalities. We also study the convergence criteria of this new method under some mild conditions. As special cases, we obtain various new and known methods for solving variational inequalities and related optimization problems.