|
Convergence of Three- Step Mean Value Iterative Scheme for a Mapping of Asymptotically Quasi - Nonexpansive Type |
|---|---|
| รหัสดีโอไอ | |
| Creator | Narongrit Puturong |
| Title | Convergence of Three- Step Mean Value Iterative Scheme for a Mapping of Asymptotically Quasi - Nonexpansive Type |
| Publisher | Silpakorn University Research and Development Institute |
| Publication Year | 2551 |
| Journal Title | Silpakorn University Science and Technology Journal |
| Journal Vol. | 2 |
| Journal No. | 1 |
| Page no. | 29-36 |
| Keyword | Asymptotically quasi nonexpansive type, Completely continuous, Uniformly convex Banach space, Three step mean value iterative scheme |
| ISSN | 1905-9159 |
| Abstract | In this paper, convergences of three- step mean value iterative scheme are established for a mapping of asymptotically quasi nonexpansive type in a uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by D. R. Sahu and J. S. Jung [ Sahu and Jung, (2003) Fixed point iteration processes for non- Lipschitzian mappings of asymptotically quasi- nonexpansive type, International Journal of Mathematics and Mathematical Sciences 2003 : 2075 - 2081], and many others. |
