Journal of Convex Analysis 23 (2016), No. 3, 823--847
Copyright Heldermann Verlag 2016
Regularity of Collections of Sets and Convergence of Inexact Alternating Projections
Alexander Y. Kruger
Centre for Informatics and Applied Optimization, Faculty of Science and Technology, Federation University Australia, POB 663, Ballarat, Vic. 3350, Australia
a.kruger@federation.edu.au
Nguyen H. Thao
Centre for Informatics and Applied Optimization, Faculty of Science and Technology, Federation University Australia, POB 663, Ballarat, Vic. 3350, Australia
nhthao@ctu.edu.vn
We study the usage of regularity properties of collections of sets in convergence analysis of alternating projection methods for solving feasibility problems. Several equivalent characterizations of these properties are provided. Two settings of inexact alternating projections are considered and the corresponding convergence estimates are established and discussed.
Keywords: Alternating projections, uniform regularity, normal cone, subdifferential.
MSC: 49J53, 49K27, 58E30
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