... quasinonexpansive mapping. However, the converse may be false [1, Example 2].Construction of approximating fixed points of nonlinear mappings is an importantsubject in the theory of nonlinear mappings and ... convergence theorem are different from the strong convergence theorems for the implicit iterative processes in the literatures.Finally, we discuss a strong convergence theorem concerning two nonexpansive mappings ... 5.5,limn→∞||xn−¯x|| =0.Furthermore,sinceT1and T2are nonexpan-sive mappings, we know that¯xis also a fixed point of T1and T2. Therefore, the proofis completed.ThefollowingisaspecialcaseofTheorem5.1whenT1and...