Hamid Vaezi - Department of Mathematics University of Tabriz
Rasoul Jahed - Department of Mathematics, Germi Branch, Islamic Azad University, Germi, Iran.
Hossein Piri - Department of Mathematics, University of Bonab

In this paper, we study convergence analysis of the sequence generated by extragradient method for an infinite family of the equilibrium problems in Banach spaces. We first prove weak convergence of the generated sequence to a common solution of the infinite family of the equilibrium problems. Then we use Halpern type regularization method in order to prove strong convergence of the generated sequence to a common equilibrium point.

Equilibrium problem, Extragradient method, Halpern regularization, Pseudo-monotone bifunction