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The Scientific World Journal
Volume 2014, Article ID 390956, 12 pages
http://dx.doi.org/10.1155/2014/390956
Research Article

Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems

1School of Management Science and Engineering, Nanjing University, Nanjing 210093, China
2Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco

Received 24 August 2013; Accepted 23 December 2013; Published 20 February 2014

Academic Editors: F.-S. Hsieh, K. R. Kazmi, N. Petrot, and D. Xu

Copyright © 2014 Abdellah Bnouhachem. 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.

Abstract

The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-known results in the literature.