Alternating projections on cleanly intersecting C^{2,1} submanifolds induce a retraction (second-order under C^{3,1}) on the intersection, with NewtonSLRA as an explicit second-order example.
Regularity of collections of sets and convergence of inexact alternating projections.Journal of Convex Analysis, 23(3):823–847, 2016
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Retractions by Alternating Projections
Alternating projections on cleanly intersecting C^{2,1} submanifolds induce a retraction (second-order under C^{3,1}) on the intersection, with NewtonSLRA as an explicit second-order example.