STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

In this paper, we introduced a new extended extragradient iteration algorithm for nding a common element of the set of xed points of a nonexpansive mapping and the set of solutions of equilibrium prob- lems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.