International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 14, Pages 2299-2306
Three-step iterations for mixed quasi variational-like inequalities
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.