-
1
-
-
0040215221
-
On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space
-
R. E. Bruck, Jr., On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space, J. Math. Anal. Appl., 61 (1977), pp. 159-164.
-
(1977)
J. Math. Anal. Appl.
, vol.61
, pp. 159-164
-
-
Bruck Jr., R.E.1
-
2
-
-
0002403757
-
-
R. S. Burachik, A. N. Iusem, and B. F. Svaiter, Enlargement of monotone operators with applications to variational inequalities, Set-Valued Anal., 5 (1997), pp. 159-180.
-
(1997)
Enlargement of Monotone Operators with Applications to Variational Inequalities, Set-Valued Anal.
, vol.5
, pp. 159-180
-
-
Burachik, R.S.1
Iusem, A.N.2
Svaiter, B.F.3
-
3
-
-
0002335559
-
ε-enlargements of maximal monotone operators: Theory and applications
-
Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Lausanne, 1997), Kluwer Academic Publishers, Dordrecht, The Netherlands
-
R. S. Burachik, C. A. Sagastizábal, and B. F. Svaiter, ε-enlargements of maximal monotone operators: Theory and applications, in Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Lausanne, 1997), Appl. Optim. 22, Kluwer Academic Publishers, Dordrecht, The Netherlands 1999, pp. 25-43.
-
(1999)
Appl. Optim.
, vol.22
, pp. 25-43
-
-
Burachik, R.S.1
Sagastizábal, C.A.2
Svaiter, B.F.3
-
4
-
-
0000229314
-
ε-enlargements of maximal monotone operators in Banach spaces
-
R. S. Burachik and B. F. Svaiter, ε-enlargements of maximal monotone operators in Banach spaces, Set-Valued Anal., 7 (1999), pp. 117-132.
-
(1999)
Set-valued Anal.
, vol.7
, pp. 117-132
-
-
Burachik, R.S.1
Svaiter, B.F.2
-
6
-
-
33746572329
-
A method for solving variational inequalities defined by monotone mappings
-
E. G. Goĺshteǐn, A method for solving variational inequalities defined by monotone mappings, Zh. Vychisl. Mat. Mat. Fiz., 42 (2002), pp. 958-968.
-
(2002)
Zh. Vychisl. Mat. Mat. Fiz.
, vol.42
, pp. 958-968
-
-
Goĺshteǐn, E.G.1
-
7
-
-
0004073061
-
Modified lagrangians and monotone maps in optimization
-
John Wiley & Sons, New York, (translated from the 1989 Russian original by Tretyakov)
-
E. G. Golshtein and N. V. Tretyakov, Modified Lagrangians and Monotone Maps in Optimization, Wiley-Intersci. Ser. Discrete Math. Optim., John Wiley & Sons, New York, 1996 (translated from the 1989 Russian original by Tretyakov).
-
(1996)
Wiley-Intersci. Ser. Discrete Math. Optim.
-
-
Golshtein, E.G.1
Tretyakov, N.V.2
-
8
-
-
0002855830
-
Combined relaxation methods for the search for equilibrium points and solutions of related problems
-
I. V. Konnov, Combined relaxation methods for the search for equilibrium points and solutions of related problems, Izv. Vyssh. Uchebn. Zaved. Mat., (1993), pp. 46-53.
-
(1993)
Izv. Vyssh. Uchebn. Zaved. Mat.
, pp. 46-53
-
-
Konnov, I.V.1
-
9
-
-
0031515563
-
A class of combined iterative methods for solving variational inequalities
-
I. V. Konnov, A class of combined iterative methods for solving variational inequalities, J.Optim. Theory Appl., 94 (1997), pp. 677-693.
-
(1997)
J.Optim. Theory Appl.
, vol.94
, pp. 677-693
-
-
Konnov, I.V.1
-
10
-
-
53849106100
-
Combined relaxation methods for generalized monotone variational inequalities
-
Springer-Verlag, Berlin
-
I. V. Konnov, Combined relaxation methods for generalized monotone variational inequalities, in Generalized Convexity and Related Topics, Lecture Notes in Econom. and Math. Systems 583, Springer-Verlag, Berlin, 2007, pp. 3-31.
-
(2007)
Generalized Convexity and Related Topics, Lecture Notes in Econom. and Math. Systems
, vol.583
, pp. 3-31
-
-
Konnov, I.V.1
-
11
-
-
0000005602
-
An extragradient method for finding saddle points and for other problems
-
G. M. Korpelevič, An extragradient method for finding saddle points and for other problems, Èkonom. i Mat. Metody, 12 (1976), pp. 747-756.
-
(1976)
Èkonom. i Mat. Metody
, vol.12
, pp. 747-756
-
-
Korpelevič, G.M.1
-
12
-
-
0000335293
-
New variants of bundle methods
-
C. Lemaréchal, A. Nemirovskii, and Y. Nesterov, New variants of bundle methods, Math. Program., 69 (1995), pp. 111-147
-
(1995)
Math. Program.
, vol.69
, pp. 111-147
-
-
Lemaréchal, C.1
Nemirovskii, A.2
Nesterov, Y.3
-
13
-
-
51249184386
-
Une méthode itérative de résolution d'une inéquation variationnelle
-
P.-L. Lions, Une méthode itérative de résolution d'une inéquation variationnelle, Israel J. Math., 31 (1978), pp. 204-208.
-
(1978)
Israel J. Math.
, vol.31
, pp. 204-208
-
-
Lions, P.-L.1
-
14
-
-
0003303688
-
A unifying geometric solution framework and complexity analysis for variational inequalities
-
T. L. Magnanti and G. Perakis, A unifying geometric solution framework and complexity analysis for variational inequalities, Math. Program., 71 (1995), pp. 327-351.
-
(1995)
Math. Program.
, vol.71
, pp. 327-351
-
-
Magnanti, T.L.1
Perakis, G.2
-
15
-
-
14944353419
-
Prox-method with rate of convergence O(1/t) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems
-
A. Nemirovski, Prox-method with rate of convergence O(1/t) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems, SIAM J. Optim., 15 (2004), pp. 229-251.
-
(2004)
SIAM J. Optim.
, vol.15
, pp. 229-251
-
-
Nemirovski, A.1
-
16
-
-
14944338662
-
Effective iterative methods for solving equations with monotone operators
-
A. S. Nemirovskiǐ, Effective iterative methods for solving equations with monotone operators, Èkonom. i Mat. Metody, 17 (1981), pp. 344-359.
-
(1981)
Èkonom. i Mat. Metody
, vol.17
, pp. 344-359
-
-
Nemirovskiǐ, A.S.1
-
17
-
-
4043065592
-
Cesàro convergence of the gradient method for the approximation of saddle points of convex-concave functions
-
A. S. Nemirovskiǐ and D. B. Judin, Cesàro convergence of the gradient method for the approximation of saddle points of convex-concave functions, Dokl. Akad. Nauk SSSR, 239 (1978), pp. 1056-1059.
-
(1978)
Dokl. Akad. Nauk SSSR
, vol.239
, pp. 1056-1059
-
-
Nemirovskiǐ, A.S.1
Judin, B.D.2
-
18
-
-
33846657040
-
Dual extrapolation and its applications to solving variational inequalities and related problems
-
Y. Nesterov, Dual extrapolation and its applications to solving variational inequalities and related problems, Math. Program., 109 (2007), pp. 319-344.
-
(2007)
Math. Program.
, vol.109
, pp. 319-344
-
-
Nesterov, Y.1
-
19
-
-
17444406259
-
Smooth minimization of nonsmooth functions
-
Y. E. Nesterov, Smooth minimization of nonsmooth functions, Math. Program., 103 (2005), pp. 127-152.
-
(2005)
Math. Program.
, vol.103
, pp. 127-152
-
-
Nesterov, Y.E.1
-
20
-
-
84972582929
-
On the maximal monotonicity of subdifferential mappings
-
R. T. Rockafellar, On the maximal monotonicity of subdifferential mappings, Pacific J. Math., 33 (1970), pp. 209-216.
-
(1970)
Pacific J. Math.
, vol.33
, pp. 209-216
-
-
Rockafellar, R.T.1
-
21
-
-
0016985417
-
Monotone operators and the proximal point algorithm
-
R. Tyrrell Rockafellar, Monotone operators and the proximal point algorithm, SIAM J. Control Optim., 14 (1976), pp. 877-898.
-
(1976)
SIAM J. Control Optim.
, vol.14
, pp. 877-898
-
-
Tyrrell Rockafellar, R.1
-
22
-
-
0000586985
-
A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
-
M. V. Solodov and B. F. Svaiter, A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator, Set-Valued Anal., 7 (1999), pp. 323-345.
-
(1999)
Set-Valued Anal.
, vol.7
, pp. 323-345
-
-
Solodov, M.V.1
Svaiter, F.B.2
-
23
-
-
22844456506
-
A hybrid projection-proximal point algorithm
-
M. V. Solodov and B. F. Svaiter, A hybrid projection-proximal point algorithm, J. Convex Anal., 6 (1999), pp. 59-70.
-
(1999)
J. Convex Anal.
, vol.6
, pp. 59-70
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
24
-
-
0034187944
-
An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions
-
M. V. Solodov and B. F. Svaiter, An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions, Math. Oper. Res., 25 (2000), pp. 214-230.
-
(2000)
Math. Oper. Res.
, vol.25
, pp. 214-230
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
25
-
-
0035518990
-
A unified framework for some inexact proximal point algorithms
-
M. V. Solodov and B. F. Svaiter, A unified framework for some inexact proximal point algorithms, Numer. Funct. Anal. Optim., 22 (2001), pp. 1013-1035.
-
(2001)
Numer. Funct. Anal. Optim.
, vol.22
, pp. 1013-1035
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
26
-
-
0000488063
-
On linear convergence of iterative methods for the variational inequality problem
-
P. Tseng, On linear convergence of iterative methods for the variational inequality problem, J. Comput. Appl. Math., 60 (1995), pp. 237-252.
-
(1995)
J. Comput. Appl. Math.
, vol.60
, pp. 237-252
-
-
Tseng, P.1
-
27
-
-
0033884548
-
A modified forward-backward splitting method for maximal monotone mappings
-
P. Tseng, A modified forward-backward splitting method for maximal monotone mappings, SIAM J. Control Optim., 38 (2000), pp. 431-446.
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 431-446
-
-
Tseng, P.1
|