Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
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DOI:
10.1155/2008/649162
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发表时间:
2008-12
影响因子:
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通讯作者:
Lianggen Hu
Lianggen Hu
中科院分区:
--
文献类型:
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作者:
Lianggen Hu

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本文的目的是考虑修正的Halpern迭代序列强收敛于具有一致G?teaux可微范数的Banach空间中非扩张映象的不动点。我们的结果是相应结果的推广。
The purpose of this paper is to consider that a modified Halpern's iterative sequence converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding results.