Weak and Strong Convergence Theorems of Quasi-Nonexpansive Mappings in a Hilbert Spaces
Gang Eun Kim · Journal of Optimization Theory and Applications · 2011
In this paper, we first prove the weak convergence for the Moudafi’s iterative scheme of two quasi-nonexpansive mappings. Then we prove the weak convergence for the Moudafi’s iterative scheme of quasi-nonexpansive mapping and nonexpansive mapping. Finally, we prove the strong convergence for the Moudafi’s iterative scheme of two quasi-nonexpansive mappings. Our results generalize the recent results due to Iemoto and Takahashi.