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Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces |
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| Authors: | Naoki Shioji Wataru Takahashi |
| Institution: | Faculty of Engineering, Tamagawa University, Tamagawa-Gakuen, Machida, Tokyo 194, Japan ; Department of Information Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan |
| Abstract: | In this paper, we study the convergence of the sequence defined by
where |
| Keywords: | Nonexpansive mappings strong convergence Banach limits iteration |
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and 
is a nonexpansive mapping from a closed convex subset of a Banach space into itself.