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  • Research Article
  • 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:

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.

Keywords

  • Hilbert Space
  • Variational Inequality
  • Differential Geometry
  • Convex Subset
  • Convergence Theorem

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics Education, Kyungnam University, Masan Kyunganm, 631-701, Republic of Korea
(2)
Department of Mathematics, Vietnamse Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, q. Cau Giay, Hanoi, 122100, Vietnam

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.

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