... using the asymptotic regularity, we study a strong convergence theorem for a composite iterative scheme for the nonexpansive mapping with the contractive mapping Jong Soo Jung For T : C → C nonexpansive ... generalized contraction mappings, ” Nonlinear Analysis: Theory, Methods & Applications In press 23 W Takahashi, “Voscosity approximation methods for countable families of nonexpansive mappings in Banach ... spaces,” Nonlinear Analysis: Theory, Methods & Applications In press 24 N C Wong, D R Sahu, and J.-C Yao, “Solving variational inequalities involving nonexpansive type mappings, ” Nonlinear Analysis:...