| Article ID: | iaor2012622 |
| Volume: | 152 |
| Issue: | 3 |
| Start Page Number: | 727 |
| End Page Number: | 738 |
| Publication Date: | Mar 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Kim Gang |
| Keywords: | global convergence, Hilbert space, mapping |
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.