| Viscosity Approximtion of Fixed Points for Nonexpansive Mappings in Banach Spaces |
| Received:September 29, 2005 Revised:July 02, 2006 |
| Key Words:
fixed point contractive mapping nonexpansive mapping viscosity approximation.
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| Abstract: |
| Let $E$ be a uniformly smooth Banach space, whose norm is uniformly Gateaux differentiable. Let $C$ be a closed convex subset of $E$, $f:C\rightarrow C$ be a contractive mapping, and $T:C\rightarrow C$ be a nonexpansive mapping. It is shown that under more general contractions of viscosity approximation methods, the sequence $\{x_n\}$ defined by (1.6) converges strongly. The results presented in this paper also extend and improve some recent results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.042 |
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