Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball
Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball
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Hadamard空间中集合序列的收敛性和真实希尔伯特球的收缩投影方法
DOI：
10.1155/2010/582475
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发表时间：
2010
影响因子：
--
通讯作者：
Y. Kimura
中科院分区：
文献类型：
--
作者：
N. Fukuda;T. Kinoshita;T. Kubo;Y. Kimura
本文提出了Hadamard空间中集合收敛的一个新概念，并利用度量投影的概念得到了它的等价条件。应用这一结果，在实数Hilbert球上用收缩投影法证明了迭代格式的收敛性定理。
We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection method in a real Hilbert ball.