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.  
Fund Project:the National Natural Science Foundation of China(10561007); the Natural Science Foundation of Jiangxi Province(0411036)
Author NameAffiliation
TANG Yu-chao Department of Mathematics, Nanchang University, Jiangxi 330047, China 
LIU Li-wei Department of Mathematics, Nanchang University, Jiangxi 330047, China 
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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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