| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844836 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 13 Pages |
Abstract
The Mann iterations for nonexpansive mappings have in general only weak convergence in a Hilbert space. We modify an iterative method of Mann's type introduced by Nakajo and Takahashi [Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372–379] for nonexpansive mappings and prove strong convergence of our modified Mann's iteration processes for asymptotically nonexpansive mappings and semigroups.
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Authors
Tae-Hwa Kim, Hong-Kun Xu,