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Open Access Research Article

Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings

Yonghong Yao1*, Yeong-Cheng Liou2 and Jen-Chih Yao3

Author Affiliations

1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

2 Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

3 Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan

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Fixed Point Theory and Applications 2007, 2007:064363  doi:10.1155/2007/64363

The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2007/1/064363


Received:17 March 2007
Accepted:20 August 2007
Published:4 December 2007

© 2007 Yao 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 introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.

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