A strong and weak convergence theorem for resolvents of accretive operators in banach spaces

In this paper, we first introduce an iterative sequence of Mann's type and Halpern's type for finding a zero point of an m-accretive operator in a real Banach space. Then we obtain the strong and weak convergence by changing control conditions of the sequence. The result improves and extends a strong convergence theorem and a weak convergence theorem obtained by Kamimura and Takahashi [9], simultaneously.