Abstract:
By applying the viscosity approximation method for non-expansive mappings, a new iterative algorithm for finding the common solution for the equilibrium problem, fixed point problem of infinitely non-expansive mappings and the variational inequality problem was constructed in Hilbert spaces. Some convergence theorems of the iterative sequences are obtained when the parameters meet certain suitable conditions. The results improve and help popularize some of the recent research achievements published in many literatures.