Approximation of common solutions of the infinite family of equilibrium problems in Banach Spaces

Document Type : Research Articles

Authors

1 Department of Mathematics University of Tabriz

2 Department of Mathematics, Germi Branch, Islamic Azad University, Germi, Iran.

3 Department of Mathematics, University of Bonab

Abstract

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.

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