Cyclic Projections in Hadamard Spaces

Alexander Lytchak () and Anton Petrunin ()
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Alexander Lytchak: Karlsruhe Institute of Technology
Anton Petrunin: PSU, University Park

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 2, No 11, 636-642

Abstract: Abstract 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.

Keywords: Hadamard spaces; Cyclic projections; Asymptotic regularity (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02043-w

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