Abstract
In this article, we present a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a pseudomonotone and Lipschitz-type continuous bifunction. We obtain strongly convergent theorems for the sequences generated by these processes in a real Hilbert space.
Acknowledgements
The author thank the referee for his/her useful comments, remarks and important suggestions on this article. This work was supported by the Vietnam National Foundation for Science Technology Development (NAFOSTED).