Cyclic Projections in Hadamard Spaces

被引：0
|
作者：
Alexander Lytchak
Anton Petrunin
机构：
[1] Karlsruhe Institute of Technology,Math. Dept.
[2] PSU,undefined
[3] University Park,undefined
来源：
Journal of Optimization Theory and Applications | 2022年 / 194卷
关键词：
Hadamard spaces; Cyclic projections; Asymptotic regularity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that cyclic products of projections onto convex subsets of Hadamard spaces can behave in a more complicated way than in Hilbert spaces, resolving a problem formulated by Miroslav Bačák. Namely, we construct an example of convex subsets in a Hadamard space such that the corresponding cyclic product of projections is not asymptotically regular.
引用
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页码：636 / 642
页数：6
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