Suppose C is a nonempty closed convex subset of real Hilbert space H . Let T : C → H be a nonexpansive non-self-mapping and P is the nearest point projection of H onto C. In this paper, we study the convergence of the sequences {xn}, {yn}, {zn} satisfying xn = (1−αn)u+αnT[(1− βn)xn + βnTxn], yn = (1−αn)u+αnPT[(1− βn)yn + βnPTyn], and zn = P[(1 − αn)u + αnTP[(1 − βn)zn + βnTzn]], where {αn} ⊆ (0...