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Strongly relatively nonexpansive sequences in Banach spaces and applications |
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| Authors: | Koji Aoyama Fumiaki Kohsaka Wataru Takahashi |
| Affiliation: | (1) Department of Economics, Chiba University, Yayoi-cho, Inage-ku, Chiba-shi, Chiba 263-8522, Japan;(2) Department of Computer Science and Intelligent Systems, Oita University, Dannoharu, Oita-shi, Oita 870-1192, Japan;(3) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo 152-8552, Japan |
| Abstract: | We introduce the concept of a strongly relatively nonexpansive sequence in a Banach space and investigate its properties. Then we apply our results to the problem of approximating a common fixed point of a countable family of relatively nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 47H09 47H10 41A65 |
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