A HYBRID METHOD FOR A SYSTEM INVOLVING EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE SEMIGROUP
L. Q. Thuy, LE DUNG MUU · Korean Journal of Mathematics · 2015
In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Mannis method. We obtain a strong convergence for the sequences generated by the proposed method.