IJPAM: Volume 21, No. 1 (2005)

THREE-STEP ITERATIONS
FOR VARIATIOANL-LIKE INEQUALITIES

Muhammad Aslam Noor$^1$, Zulfiqar Ali Memon$^2$
$^1$Department of Mathematics
Lahore University of Management Sciences
Lahore, PAKISTAN
e-mail: noormaslam@hotmail.com
$^2$Etisalat College of Engineering
P.O. Box 980, Sharjah, UNITED ARAB EMIRATES
e-mail: ali@ece.ac.ae


Abstract.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 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.

Received: March 15, 2005

AMS Subject Classification: 49J40, 90C30

Key Words and Phrases: variational-like inequalities, Bregman function auxiliary principle, convergence

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 1