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

Published 5 Nov 2016 in math.MG | (1611.01605v1)

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

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