STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
2012
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.
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