| Computational Mathematics |
|
|
|
|
| Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings |
| WANG Ya-qin |
| Mathematics and Sciences College, Shanghai Normal University, Shanghai 200234, China |
|
|
|
Abstract In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration scheme are established. In particular, necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained. At last, some useful corollaries for strong convergence of this explicit iteration scheme are given.
|
|
Received: 20 April 2007
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
