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arxiv: 1611.01605 · v1 · pith:ISKHU5TRnew · submitted 2016-11-05 · 🧮 math.MG

Convergences of Alternating Projections in CAT(kappa) Spaces

classification 🧮 math.MG
keywords alternatingkappaconvergenceprojectionsregularitysequenceasymptoticcertain
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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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