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J. Korean Math. Soc. 2001; 38(6): 1245-1260

Printed November 1, 2001

Copyright © The Korean Mathematical Society.

Demi-closed principle and weak convergence problems for asymptotically nonexpansive mappings

Shih-sen Chang, Yeol Je Cho, and Haiyun Zhou

Sichuan University, Gyeongsang National University, Shijiazhuang Mechanical Engineering College

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A demi-closed theorem and some new weak convergence theorems of iterative sequences for asymptotically nonexpansive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corresponding results of [1], [8]-[10], [12], [13], [15], [16], and [18].

Keywords: demi-closed principle, asymptotically nonexpansive mapping, nonexpansive mapping, fixed point, Ishikawa iterative sequence, Mann iterative sequence

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