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

页码：636 / 642

页数：6

共 50 条

[1] Cyclic Projections in Hadamard Spaces
Lytchak, Alexander
Petrunin, Anton
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 194 (02) : 636 - 642
[2] Polynomial estimates for the method of cyclic projections in Hilbert spaces
Simeon Reich
Rafał Zalas
Numerical Algorithms, 2023, 94 : 1217 - 1242
[3] Polynomial estimates for the method of cyclic projections in Hilbert spaces
Reich, Simeon
Zalas, Rafal
NUMERICAL ALGORITHMS, 2023, 94 (03) : 1217 - 1242
[4] Entropy of Hadamard spaces
Hirayama, Michihiro
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (04) : 627 - 635
[5] ON SUBDIFFERENTIAL IN HADAMARD SPACES
Movahedi, M.
Behmardi, D.
Soleimani-damaneh, M.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (03): : 707 - 717
[6] Quasiflats in Hadamard spaces
Lang, U
Schroeder, V
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1997, 30 (03): : 339 - 352
[7] Random Hadamard Projections for Hyperspectral Unmixing
Menon, Vineetha
Du, Qian
Fowler, James E.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2017, 14 (03) : 419 - 423
[8] A GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACES
Bertrand, Jerome
Kloeckner, Benoit
JOURNAL OF TOPOLOGY AND ANALYSIS, 2012, 4 (04) : 515 - 542
[9] Warped products of Hadamard spaces
Alexander, SB
Bishop, RL
MANUSCRIPTA MATHEMATICA, 1998, 96 (04) : 487 - 505
[10] Monotone Relations in Hadamard Spaces
Moslemipour, Ali
Roohi, Mehdi
Mardanbeigi, Mohammad Reza
Azhini, Mahdi
FILOMAT, 2019, 33 (19) : 6347 - 6358

← 1 2 3 4 5 →