Strongly relatively nonexpansive sequences in Banach spaces and applications

Springer Science and Business Media LLC - Tập 5 - Trang 201-225 - 2009
Koji Aoyama1, Fumiaki Kohsaka2, Wataru Takahashi3
1Department of Economics, Chiba University, Chiba, Japan
2Department of Computer Science and Intelligent Systems, Oita University, Oita, Japan
3Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan

Tóm tắt

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.

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Springer Science and Business Media LLC

Tập 5

201-225

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