| MSC: | 47H09 | Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.) |
| 47H10 | Fixed-point theorems [See also 54H25, 55M20, 58C30] |
Abstract:
In the present paper, we define and study a new
three-step iterative schemes with errors. Several strong convergence
theorems of this scheme are established for asymptotically
nonexpansive mappings. Our results extend and improve the recent
ones announced by Osilike and Aniagbosor, Cho et.al, Liu and Kang,
Nammanee et al., and many others.