H. Attouch, J. Bolte, P. Redont, and A. Soubeyran, Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-??ojasiewicz Inequality, Mathematics of Operations Research, vol.35, issue.2, pp.438-457, 2010.
DOI : 10.1287/moor.1100.0449
URL : http://arxiv.org/pdf/0801.1780

H. H. Bauschke and J. M. Borwein, On Projection Algorithms for Solving Convex Feasibility Problems, SIAM Review, vol.38, issue.3, pp.367-426, 1996.
DOI : 10.1137/S0036144593251710
URL : http://www.cecm.sfu.ca/ftp/pub/CECM/Preprints/Postscript/95:034-Bauschke-Borwein.ps.gz

H. H. Bauschke, P. L. Combettes, and D. R. Luke, Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization, Journal of the Optical Society of America A, vol.19, issue.7, pp.1334-1345, 2002.
DOI : 10.1364/JOSAA.19.001334
URL : https://people.ok.ubc.ca/bauschke/Research/19.pdf

H. H. Bauschke, D. R. Luke, H. M. Phan, and X. Wang, Restricted normal cones and the method of alternating projections: theory. Set-Valued and Variational Analysis 21, pp.431-473, 2013.
DOI : 10.1007/s11228-013-0239-2

H. H. Bauschke, D. R. Luke, H. M. Phan, and X. Wang, Restricted normal cones and the method of alternating projections: applications. Set-Valued and Variational Analysis 21, pp.475-501, 2013.
DOI : 10.1007/s11228-013-0238-3

H. H. Bauschke and D. Noll, On cluster points of alternating projections, Serdica Math. Journal, vol.39, pp.355-364, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00991485

H. H. Bauschke and D. Noll, On the local convergence of the Douglas???Rachford algorithm, Archiv der Mathematik, vol.16, issue.4, pp.589-600, 2014.
DOI : 10.1137/0716071
URL : http://arxiv.org/pdf/1401.6188

E. Bierstone and P. Milman, Semianalytic and subanalytic sets, Publications math??matiques de l'IH??S, vol.41, issue.2, pp.5-42, 1988.
DOI : 10.2307/1968864

J. Bolte, A. Daniilidis, and A. S. Lewis, The ??ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems, SIAM Journal on Optimization, vol.17, issue.4, pp.1205-1223, 2007.
DOI : 10.1137/050644641

J. M. Borwein, G. Li, and L. Yao, Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets, SIAM Journal on Optimization, vol.24, issue.1, pp.498-527, 2014.
DOI : 10.1137/130919052

P. L. Combettes and H. J. , Method of successive projections for finding a common point of sets in metric spaces, Journal of Optimization Theory and Applications, vol.39, issue.3, pp.487-507, 1990.
DOI : 10.1007/BF00939646

D. Drusvyatskiy, A. D. Ioffe, and A. S. Lewis, Alternating projections and coupling slope, 2014.

V. Elser, Solution of the crystallographic phase problem by iterated projections, Acta Crystallographica Section A Foundations of Crystallography, vol.59, issue.3, pp.201-209, 2003.
DOI : 10.1107/S0108767303002812
URL : http://arxiv.org/pdf/cond-mat/0209690

M. Fabian, Lipschitz Smooth Points of Convex Functions and Isomorphic Characterizations of Hilbert Spaces, Proc. London Math. Soc. s3-51, pp.113-126, 1985.
DOI : 10.1112/plms/s3-51.1.113

H. Federer, Hausdorff Measure and Lebesgue Area, Proceedings of the National Academy of Sciences, vol.37, issue.2, pp.90-94, 1951.
DOI : 10.1073/pnas.37.2.90
URL : http://doi.org/10.1073/pnas.37.2.90

R. W. Gerchberg and W. O. Saxton, A practical algorithm for the determination of the phase from image and diffraction plane pictures, Optik, vol.35, pp.237-246, 1972.

R. Hesse and D. R. Luke, Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems, SIAM Journal on Optimization, vol.23, issue.4, pp.2397-2419, 2013.
DOI : 10.1137/120902653
URL : http://arxiv.org/pdf/1212.3349

A. Y. Kruger, About regularity of collections of sets. Set-Valued Analysis, pp.187-206, 2006.
DOI : 10.1007/s11228-006-0014-8

A. Y. Kruger, On Fréchet subdifferentials. Optimization and relaed topics, 3, Journal of Mathematical Sciences, pp.3325-3358, 2003.
DOI : 10.1023/A:1023673105317

A. S. Lewis and J. Malick, Alternating Projections on Manifolds, Mathematics of Operations Research, vol.33, issue.1, pp.216-234, 2008.
DOI : 10.1287/moor.1070.0291
URL : https://hal.archives-ouvertes.fr/hal-00317157

A. S. Lewis, R. Luke, and J. Malick, Local linear convergence for alternating and averaged non convex projections. Found, Comp. Math, vol.9, pp.485-513, 2009.
DOI : 10.1007/s10208-008-9036-y
URL : http://hal.archives-ouvertes.fr/docs/00/38/95/55/PDF/lewis-luke-malick.pdf

B. S. Mordukhovich, Variational Analysis and Generalized Differentiation, 2006.
DOI : 10.1007/3-540-31247-1

J. Neumann, Functional Operators, 1950.

R. A. Poliquin, R. T. Rockafellar, and L. Thibault, Local differentiability of distance functions, Transactions of the American Mathematical Society, vol.352, issue.11, pp.5231-5249, 2000.
DOI : 10.1090/S0002-9947-00-02550-2

R. T. Rockafellar and R. J. Wets, Variational Analysis. Grundlehren der mathematischen Wissenschaften, 2009.

H. A. Schwarz, Ueber einige Abbildungsaufgaben., Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.1869, issue.70, pp.65-83, 1869.
DOI : 10.1515/crll.1869.70.105

M. Shiota, Geometry of Subanalytic and Semialgebraic Sets, 1997.
DOI : 10.1007/978-1-4612-2008-4