A STRONG AND WEAK CONVERGENCE THEOREM FOR RESOLVENTS OF ACCRETIVE OPERATORS IN BANACH SPACES
Shigeru Iemoto, Wataru Takahashi · Tokyo Tech Research Repository (Tokyo Institute of Technology) · 2007
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.