| MSC: | 47H09 | Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc. |
| 47H10 | Fixed-point theorems | |
| 47H15 | ||
| ZDM: | - | |
| CR: | - | |
| PACS: | - |
Abstract:
In the present paper, we establish new strong convergence theorems of the
modified Mann and the modified Ishikawa iterative scheme with errors for a mapping which is
asymptotically nonexpansive in the intermediate sense in a uniformly convex Banach space.
Our theorems significantly extend and improve Kim and Kim‘s results. The results in the
paper even in the case of asymptotically nonexpansive mappings are new.