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Abstract and Applied Analysis
Volume 2014, Article ID 424875, 10 pages
Research Article

On Solutions of Variational Inequality Problems via Iterative Methods

1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, University of Botswana, Private Bag 00704, Gaborone, Botswana

Received 12 May 2014; Revised 24 June 2014; Accepted 30 June 2014; Published 4 August 2014

Academic Editor: Adrian Petrusel

Copyright © 2014 Mohammed Ali Alghamdi 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.


We investigate an algorithm for a common point of fixed points of a finite family of Lipschitz pseudocontractive mappings and solutions of a finite family of γ-inverse strongly accretive mappings. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.