Convergence Theorems of Iterative Approximation for Finding Zeros of Accretive Operator and Fixed Points Problems

In this paper we propose and studied a new composite iterative scheme with certain control con- ditions for viscosity approximation for a zero of accretive operator and fixed points problems in a re exive Banach space with weakly continuous duality mapping. Strong convergence of the sequence fxng dened by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [1, 4, 10].