A viscosity iterative algorithm for the optimization problem system

H R Sahebi, S Ebrahimi

In this paper, we suggest and analysis a viscosity iterative algorithm for finding a common element of the set of solution of a mixed equilibrium problem and the set the of solutions of a variational inequality and all common fixed points of a nonexpansive semi group. This algorithm strongly converges to an element which solves an optimization problem system. Finally, some examples and numerical results are also given.