J. Korean Math. Soc. 2008; 45(1): 29-40
Printed January 1, 2008
Copyright © The Korean Mathematical Society.
Xiaolong Qin, Yongfu Su, and Meijuan Shang
Tianjin Polytechnic University, Tianjin Polytechnic University, Shijiazhuang University
In this paper, we introduce a modified three-step iteration scheme with errors for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. We then use this scheme to approximate a common fixed point of these mappings. The results obtained in this paper extend and improve the recent ones announced by Khan, Fukhar-ud-di, Zhou, Cho, Noor and some others.
Keywords: uniformly convex Banach space, uniformly Holder continuous, uniformly equi-continuous, asymptotically quasi-nonexpansive mapping
MSC numbers: Primary 47H17; Secondary 47H05, 47H10
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