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The Scientific World Journal
Volume 2013, Article ID 608241, 11 pages
Research Article

Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received 4 August 2013; Accepted 12 September 2013

Academic Editors: S. Amat, I. Beg, and S. A. Mohiuddine

Copyright © 2013 Dao-Jun Wen. 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, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate sense. Strong convergence of the viscosity iterative sequences is obtained under some suitable conditions. Results presented in this paper extend and unify the previously known results announced by many other authors.