Remark on the three-step iteration for nonlinear operator equations and nonlinear variational inequalities

The purpose of this paper is to show that the convergence of the three-step iterations suggested by Noor [10-13], Noor et al. [14] for solving nonlinear operator equations, general variational inequalities and multi-valued quasi-variational inclusions in Hilbert spaces or uniformly smooth Banach spaces are equivalent to the that of the Mann iteration.