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arXiv · 1611.01605

Convergences of Alternating Projections in CAT($κ$) Spaces

Byoung Jin Choi·Un Cig Ji·Yongdo Lim
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Abstract

We establish the asymptotic regularity and the $Δ$-convergence of the sequence constructed by the alternating projections to closed convex sets in a CAT($κ$) space with $κ> 0$. Furthermore, the strong convergence of the alternating von Neumann sequence is presented under certain regularity or compactness.

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Byoung Jin Choi, Un Cig Ji, Yongdo Lim. 2016-11-05. Convergences of Alternating Projections in CAT($κ$) Spaces. https://arxiv.org/abs/1611.01605

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