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PROJECTION ALGORITHMS FOR FIXED POINT PROBLEMS

delete2026-04-01
delete0
PRE
AI
S
Shin-ya Matsushita *
DOI：10.1017/s0004972726101117delete
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摘要

摘要

En 中文
我们研究了在希尔伯特空间中寻找非扩张映射的不动点的投影算法。在先前的工作中，迭代序列的良好定义性依赖于不动点集的非空性。我们首先证明，由一般投影算法生成的迭代序列的存在性与不动点的存在性无关。接下来，我们引入一种多步惯性投影算法，并建立了关于存在性、强收敛性和迭代复杂性的结果。我们的结果推广并改进了文献中讨论的投影算法。
Keyword:
nonexpansive mapping
metric projection
strong convergence
Hilbert space

期刊

B
Bulletin of the Australian Mathematical Society
IF:
0.5
论文数:
79
被引数:
0

机构

Akita Prefectural University 封面图
Akita Prefectural University
学者数:
783
论文数: 750
被引数: 681
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