| Title of Article |
Some improvements on weak convergence theorems of Chuang and Takahashi in Hilbert spaces |
| Date of Acceptance |
26 December 2016 |
| Journal |
| Title of Journal |
Chamchuri Journal of Mathematics |
| Standard |
|
| Institute of Journal |
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University |
| ISBN/ISSN |
|
| Volume |
|
| Issue |
8 |
| Month |
|
| Year of Publication |
2016 |
| Page |
1-17 |
| Abstract |
Chuang and Takahashi [3] recently proved three weak convergence theorems for a family of firmly nonexpansive mappings with generalized parameters. We discuss these three results for a family of k-demicontractive mappings where k <= 1. Obviously, the class of k-demicontractive mappings contains all firmly nonexpansive mappings.
The situation k=1 is extensively studied by means of the Ishikawa iteration and the extragradient method of Korpelevic. Some numerical results for k=1 are presented and further discussed. |
| Keyword |
fixed point, k-demicontractive mapping, Mann iteration, Ishikawa iteration, extragradient method |
| Author |
|
| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
|
| Citation |
0
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Publication
Journal Publication
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