Note on Convergence Theorems of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uniformly Convex Banach Space |
Received:September 13, 2005 Revised:July 02, 2007 |
Key Words:
asymptotically nonexpansive mapping modified Ishikawa iterative sequence fixed points.
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Fund Project:the National Natural Science Foundation of China(10561007); the Natural Science Foundation of Jiangxi Province(0411036) |
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Abstract: |
In this paper, we approximate fixed point of asymptotically nonexpansive mapping $T$ on a closed, convex subset $C$ of a uniformly convex Banach space. Our argument removes the boundedness assumption on $C$, generalizing theorems of Liu and Xue. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2007.01.011 |
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