Open Access

An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces

Fixed Point Theory and Applications20112011:780764

https://doi.org/10.1155/2011/780764

Received: 11 December 2010

Accepted: 4 March 2011

Published: 14 March 2011

Abstract

The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find where is a closed convex subset of a Hilbert space and are bifunctions from into R given exactly or approximatively. As an application, finding a common solution for a system of variational inequality problems is given.

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Authors’ Affiliations

(1)
Department of Mathematics Education, Kyungnam University
(2)
Department of Mathematics, Vietnamse Academy of Science and Technology, Institute of Information Technology

Copyright

© Jong Kyu Kim and Nguyen Buong. 2011

This article is published under license to BioMed Central Ltd. 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.