Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions |
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| Authors: | Shin-ya Matsushita Wataru Takahashi |
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| Affiliation: | 1. Department of Information Engineering, Matsue National College of Technology, Nishi-ikuma, Matsue, Shimane, 690-8518, Japan;2. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo, 152-8552, Japan |
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| Abstract: | In this paper, we study boundary conditions for nonexpansive nonself-mappings in a Banach space. Using this, we prove two strong convergence theorems for nonexpansive nonself-mappings in a Banach space without boundary conditions. |
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| Keywords: | primary, 47H10 secondary, 47H09 |
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