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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

  • Received: 11 December 2010
  • Accepted: 4 March 2011
  • Published:


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.


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

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Authors’ Affiliations

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