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Bull. Korean Math. Soc. 2005; 42(4): 661-670
Printed December 1, 2005
Copyright © The Korean Mathematical Society.
Approximating common fixed points of asymptotically nonexpansive mappings
Yeol Je Cho, Jung Im Kang, and Haiyun Zhou
Gyeongsang National University, Gyeongsang National University, Shijiazhuang Mechanical Engineering College
In this paper, we deal with approximations of common fixed points of the iterative sequences with errors for three asymptotically nonexpansive mappings in a uniformly convex Banach space. Our results generalize and improve the corresponding results of Khan and Takahashi, Schu, Takahashi and Tamura, and others.
Keywords: uniformly convex Banach space, asymptotically nonexpansive mapping, nonexpansive and quasi-nonexpansive mappings, uniformly $L$-con-tinuous mapping, the modified Ishikawa iterative sequence with errors, common fixed point
MSC numbers: 47H17, 47H05, 47H10
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