Approximating fixed points of nonexpansive mappings in a Banach space by metric projections
Approximating fixed points of nonexpansive mappings in a Banach space by metric projections
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DOI：
10.1016/j.amc.2007.06.006
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发表时间：
2008-02
期刊：
影响因子：
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通讯作者：
S. Matsushita;W. Takahashi
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文献类型：
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作者：
S. Matsushita;W. Takahashi
In this paper, a strong convergence theorem for nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem is different from the recent strong convergence theorem due to Xu [H.K. Xu, Strong convergence of approximating fixed point sequences for nonexpansive mappings, Bull. Aust. Math. Soc. 74 (2006) 143–151] which was established by generalized projections.
