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In the framework of real Hilbert spaces we study continuous in time dynamics as well as numerical algorithms for the problem of approaching the set of zeros of a single-valued monotone and continuous operator $V$.
B. Halpern. Fixed points of nonexpanding maps
1967
Earlier work this paper cites.
Z. Opial. Weak convergence of the sequence of successive approximations for nonexpansive mappings
1967
Earlier work this paper cites.
R. T. Rockafellar. Monotone operators associated with saddle-functions and minimax problems. In: F. E. Browder (ed.),
1970
Earlier work this paper cites.
A. S. Antipin. On a method for convex programs using a symmetrical modification of the Lagrange function
1976
Earlier work this paper cites.
J. B. Baillon and H. Brézis. Une remarque sur le comportement asymptotique des semigroupes non linyéaires
1976
Earlier work this paper cites.
G. M. Korpelevich. An extragradient method for finding saddle points and for other problems
1976
Earlier work this paper cites.
L. D. Popov. A modification of the Arrow–Hurwicz method for search of saddle points
1980
Earlier work this paper cites.
O. Güler. On the convergence of the proximal point algorithm for convex minimization
1991
Earlier work this paper cites.
O. Güler. New proximal point algorithms for convex minimization
1992
Earlier work this paper cites.
E. D. Dolan and J. J. Moré. Benchmarking optimization software with performance profiles
2002
Earlier work this paper cites.
G. R. Sell and Y. You
2002
Earlier work this paper cites.
Y. Nesterov
2004
Earlier work this paper cites.
Y. Nesterov. Dual extrapolation and its applications to solving variational inequalities and related problems
2007
Earlier work this paper cites.
J. Peypouquet and S. Sorin. Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
2010
Earlier work this paper cites.
H. Attouch and B. F. Svaiter. A continuous dynamical Newton-like approach to solving monotone inclusions
2011
Earlier work this paper cites.
B. Abbas, H. Attouch and B.F. Svaiter. Newton-like dynamics and forward–backward methods for structured monotone inclusions in Hilbert spaces
2014
Earlier work this paper cites.
I. J. Goodfellow, J. Pouget-Abadie, M. Mirza, B. Xu, D. Warde-Farley, S. Ozair, A. Courville and Y. Bengio. Generative adversarial networks
2014
Cited alongside, same era.
H. Attouch and J. Peypouquet. The rate of convergence of Nesterov’s accelerated forward-backward method is actually faster than
2016
Cited alongside, same era.
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2016
Cited alongside, same era.
W. Su, S. Boyd and E. Candès. A differential equation for modeling Nesterov’s accelerated gradient method: theory and insights
2016
Cited alongside, same era.
H.H. Bauschke and P.L. Combettes
2017
Cited alongside, same era.
R. I. Boţ and D.-K. Nguyen. Improved convergence rates and trajectory convergence for primal-dual dynamical systems with vanishing damping
2021
Later among the works it cites.
T. Chavdarova, M. I. Jordan and M. Zampetakis. Last-iterate convergence of saddle point optimizers via high-resolution differential equations
2021
Later among the works it cites.
D. Kim. Accelerated proximal point method for maximally monotone operators
2021
Later among the works it cites.
S. Lee and D. Kim. Fast extra gradient methods for smooth structured nonconvex-nonconcave minimax problems
2021
Later among the works it cites.
Y. Ouyang and Y. Xu. Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems
2021
Later among the works it cites.
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