Cyclic Projections in Hadamard Spaces

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.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10957-022-02043-w

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Work Title Cyclic Projections in Hadamard Spaces
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Open Access
Creators
  1. Alexander Lytchak
  2. Anton Petrunin
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Journal of Optimization Theory and Applications
Publication Date June 16, 2022
Publisher Identifier (DOI)
  1. https://doi.org/10.1007/s10957-022-02043-w
Deposited January 25, 2025

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  • Created
  • Added 2104.09026-1.pdf
  • Added Creator Alexander Lytchak
  • Added Creator Anton Petrunin
  • Published
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