| Iteration Approximation for Fixed Point of Nonlinear $\Phi$-Pseudocontractive Mappings in Banach Spaces |
| Received:November 08, 2005 Revised:July 03, 2006 |
| Key Words:
$\Phi$-pseudocontractive mappings Ishikawa iteration sequence with errors fixed points.
|
| Fund Project:the Natural Science Foundation of Yunan Province (2006A0089M) |
|
| Hits: 2399 |
| Download times: 1365 |
| Abstract: |
| This paper deals with the iteration approximation problem of fixed point for the nonlinear quasi-$\Phi$-pseudocontractive mappings and $\Phi$-pseudocontractive mappings. The results presented in this paper show that the quasi-$\Phi$-pseudocontractive mapping and $\Phi$-pseudocontractive mapping $T$~($T$ may not be continuous) of the Ishikawa and Mann iterative sequences with errors converges strongly to the unique fixed point of $T$ in an arbitrary real Banach space $E$. Our results improve and extend some recent results, and improve the methods of proof. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.040 |
| View Full Text View/Add Comment |
