Geodesic
Regularity of Collections of Sets and Convergence of Inexact Alternating Projections
Journal of convex analysis, Tome 23 (2016) no. 3, pp. 823-847
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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.
Classification : 49J53, 49K27, 58E30
Mots-clés : Alternating projections, uniform regularity, normal cone, subdifferential 
@article{JCA_2016_23_3_JCA_2016_23_3_a7,
     author = {A. Y. Kruger and N. H. Thao},
     title = {Regularity of {Collections} of {Sets} and {Convergence} of {Inexact} {Alternating} {Projections}},
     journal = {Journal of convex analysis},
     pages = {823--847},
     year = {2016},
     volume = {23},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_3_JCA_2016_23_3_a7/}
}
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A. Y. Kruger; N. H. Thao. Regularity of Collections of Sets and Convergence of Inexact Alternating Projections. Journal of convex analysis, Tome 23 (2016) no. 3, pp. 823-847. http://geodesic.mathdoc.fr/item/JCA_2016_23_3_JCA_2016_23_3_a7/