Y. Atchade, G. Fort, and E. Moulines, On stochastic proximal gradient algorithms, 2014.

M. Schmidt, N. Le-roux, and ;. F. Bach, Convergence rates of inexact proximal-gradient methods for convex optimization, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00618152

A. Beck and M. Teboulle, Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems, IEEE Transactions on Image Processing, vol.18, issue.11, pp.2419-2434, 2009.
DOI : 10.1109/TIP.2009.2028250

A. Beck and M. Teboulle, A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009.
DOI : 10.1137/080716542

A. Beck and M. Teboulle, Gradient-based algorithms with applications to signal-recovery problems, Convex Optimization in Signal Processing and Communications, 2010.
DOI : 10.1017/CBO9780511804458.003

R. S. Burachik, A. N. Iusem, and B. F. Svaiter, Enlargement of monotone operators with applications to variational inequalities. Set-Valued Analysis, pp.159-180, 1997.

A. Chambolle and C. Dossal, On the convergence of the iterates of the " Fast Iterate Schrinkage Thresholding Algorithm, Journal of Optimization Theory and Applications, 2015.

P. Combettes and J. Pesquet, Proximal splitting methods in signal processing In Fixed-point algorithms for inverse problems in science and engineering, pp.185-212, 2011.

P. L. Combettes and V. Wajs, Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005.
DOI : 10.1137/050626090

URL : https://hal.archives-ouvertes.fr/hal-00017649

J. Eckstein and D. P. Bertsekas, On the Douglas???Rachford splitting method and the proximal point algorithm for maximal monotone operators, Mathematical Programming, vol.29, issue.1, pp.293-318, 1992.
DOI : 10.1007/BF01581204

D. Gabay and B. Mercier, A dual algorithm for the solution of nonlinear variational problems via finite element approximation, Computers & Mathematics with Applications, vol.2, issue.1, pp.17-40, 1976.
DOI : 10.1016/0898-1221(76)90003-1

O. Güler, New Proximal Point Algorithms for Convex Minimization, SIAM Journal on Optimization, vol.2, issue.4, pp.649-664, 1992.
DOI : 10.1137/0802032

P. Lions and B. Mercier, Splitting Algorithms for the Sum of Two Nonlinear Operators, SIAM Journal on Numerical Analysis, vol.16, issue.6, pp.964-979, 1979.
DOI : 10.1137/0716071

D. Lorenz and T. Pock, An Inertial Forward-Backward Algorithm for Monotone Inclusions, Journal of Mathematical Imaging and Vision, vol.23, issue.3, pp.1-15
DOI : 10.1007/s10851-014-0523-2

A. Moudafi and M. Oliny, Convergence of a splitting inertial proximal method for monotone operators, Journal of Computational and Applied Mathematics, vol.155, issue.2, pp.447-454, 2003.
DOI : 10.1016/S0377-0427(02)00906-8

URL : https://hal.archives-ouvertes.fr/hal-00780778

Y. Nesterov, A method for solving the convex programming problem with convergence rate, Dokl. Akad. Nauk SSSR, vol.269, issue.1 23, pp.543-547, 1983.

Y. Nesterov, Smooth minimization of non-smooth functions, Mathematical Programming, vol.269, issue.1, pp.127-152, 2005.
DOI : 10.1007/s10107-004-0552-5

Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bulletin of the American Mathematical Society, vol.73, issue.4, pp.591-597, 1967.
DOI : 10.1090/S0002-9904-1967-11761-0

S. Salzo and S. Villa, Inexact and accelerated proximal point algorithms, Journal of convex analysis, 2012.

M. Schmidt, N. L. Roux, and F. Bach, Convergence rates of inexact proximal-gradient methods for convex optimization, Advances in Neural Information Processing Systems (NIPS), 2011.
URL : https://hal.archives-ouvertes.fr/inria-00618152

P. Tseng, On accelerated proximal gradient methods for convex-concave optimization, 2008.

]. S. Villa, S. Salzo, L. Baldassarre, and A. Verri, Accelerated and Inexact Forward-Backward Algorithms, SIAM Journal on Optimization, vol.23, issue.3, pp.1607-1633, 2013.
DOI : 10.1137/110844805