-
1
-
-
0004841122
-
On the projected subgradient method for nonsmooth convex optimization in a Hilbert space
-
Y. I. ALBER, A. N. IUSEM, AND M. V. SOLODOV, On the projected subgradient method for nonsmooth convex optimization in a Hilbert space, Math. Program., 81 (1998), pp. 23-35.
-
(1998)
Math. Program.
, vol.81
, pp. 23-35
-
-
Alber, Y.I.1
Iusem, A.N.2
Solodov, A.M.V.3
-
2
-
-
0024739313
-
Variational principles for variational inequalities
-
G. AUCHMUTY, Variational principles for variational inequalities, Numer. Funct. Anal. Optim., 10 (1989), pp. 863-874.
-
(1989)
Numer. Funct. Anal. Optim.
, vol.10
, pp. 863-874
-
-
Auchmuty, G.1
-
5
-
-
0002335559
-
Epsilon-enlargement of maximal monotone operators with application to variational inequalities
-
M. Fukushima and L. Qi, eds., Kluwer, Dordrecht
-
R. S. BURACHIK, C. A. SAGASTIZÀBAL, AND B. F. SVAITER, Epsilon-enlargement of maximal monotone operators with application to variational inequalities, in Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima and L. Qi, eds., Kluwer, Dordrecht, 1997, pp. 25-43.
-
(1997)
Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
, pp. 25-43
-
-
Burachik, R.S.1
Sagastizàbal, C.A.2
Svaiter, B.F.3
-
6
-
-
0002529194
-
Bundle methods for maximal monotone operators
-
R. Tichatschke and M. Théra, eds., Springer, Berlin
-
R. S. BURACHIK, C. A. SAGASTIZÀBAL, AND B. F. SVAITER, Bundle methods for maximal monotone operators, in Ill-posed Variational Problems and Regularization Techniques, R. Tichatschke and M. Théra, eds., Springer, Berlin, 1999, pp. 49-64.
-
(1999)
Ill-posed Variational Problems and Regularization Techniques
, pp. 49-64
-
-
Burachik, R.S.1
Sagastizàbal, C.A.2
Svaiter, B.F.3
-
7
-
-
84966250602
-
An iterative solution of a variational inequality for certain monotone operators in Hilbert space
-
R. D. BRUCK, An iterative solution of a variational inequality for certain monotone operators in Hilbert space, Bull. American Math. Soc., 81 (1975), pp. 890-892.
-
(1975)
Bull. American Math. Soc.
, vol.81
, pp. 890-892
-
-
Bruck, R.D.1
-
8
-
-
0000391308
-
Decomposition coordination methods in large scale optimization problems: The nondifferentiable case and the use of augmented Lagrangians
-
J. B. Cruz, ed., JAI Press, Greenwich, CT
-
G. COHEN AND D. L. ZHU, Decomposition coordination methods in large scale optimization problems: The nondifferentiable case and the use of augmented Lagrangians, in Advances in Large Scale Systems Theory and Applications, Vol. 1, J. B. Cruz, ed., JAI Press, Greenwich, CT, 1984, pp. 203-266.
-
(1984)
Advances in Large Scale Systems Theory and Applications
, vol.1
, pp. 203-266
-
-
Cohen, G.1
Zhu, D.L.2
-
9
-
-
0023569944
-
Nash equilibria: Gradient and decomposition algorithms
-
G. COHEN, Nash equilibria: Gradient and decomposition algorithms, Large Scale Systems, 12 (1987), pp. 173-184.
-
(1987)
Large Scale Systems
, vol.12
, pp. 173-184
-
-
Cohen, G.1
-
10
-
-
0024113095
-
Auxiliary problem principle extended to variational inequalities
-
G. COHEN, Auxiliary problem principle extended to variational inequalities, J. Optim. Theory Appl., 59 (1988), pp. 325-333.
-
(1988)
J. Optim. Theory Appl.
, vol.59
, pp. 325-333
-
-
Cohen, G.1
-
11
-
-
33646971357
-
Convergence of some algorithms for convex minimization
-
R. CORREA AND C. LEMARÉCHAL, Convergence of some algorithms for convex minimization, Math. Program., 62 (1993), pp. 261-275.
-
(1993)
Math. Program.
, vol.62
, pp. 261-275
-
-
Correa, R.1
Lemaréchal, C.2
-
12
-
-
0003763379
-
-
Wiley, New York
-
R. W. COTTLE, F. GIANNESSI, AND J. L. LIONS, Variational Inequalities and Complementarity Problems: Theory and Applications, Wiley, New York, 1980.
-
(1980)
Variational Inequalities and Complementarity Problems: Theory and Applications
-
-
Cottle, R.W.1
Giannessi, F.2
Lions, J.L.3
-
13
-
-
0001970539
-
Pseudomonotone variational inequality problems: Existence of solutions
-
J. P. CROUZEIX, Pseudomonotone variational inequality problems: Existence of solutions, Math. Program., 78 (1997), pp. 305-314.
-
(1997)
Math. Program.
, vol.78
, pp. 305-314
-
-
Crouzeix, J.P.1
-
14
-
-
0000680340
-
Approximate iterations in Bregman-function-based proximal algorithms
-
J. ECKSTEIN, Approximate iterations in Bregman-function-based proximal algorithms, Math. Program., 83 (1998), pp. 113-124.
-
(1998)
Math. Program.
, vol.83
, pp. 113-124
-
-
Eckstein, J.1
-
16
-
-
0003725569
-
-
North-Holland, Amsterdam
-
R. GLOWINSKI, J. L. LIONS, AND R. TRÉMOLIÈRES, Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, 1981.
-
(1981)
Numerical Analysis of Variational Inequalities
-
-
Glowinski, R.1
Lions, J.L.2
Trémolières, R.3
-
17
-
-
0344704362
-
Finite-dimensional variational inequality and nonlinear complementarity problems. A survey of theory, algorithms and applications
-
P. T. HARKER AND J. S. PANG, Finite-dimensional variational inequality and nonlinear complementarity problems. A survey of theory, algorithms and applications, Math. Program., 48 (1990), pp. 161-220.
-
(1990)
Math. Program.
, vol.48
, pp. 161-220
-
-
Harker, P.T.1
Pang, J.S.2
-
18
-
-
22444453989
-
On some properties of paramonotone operators
-
A. N. IUSEM, On some properties of paramonotone operators, J. Convex Anal., 5 (1998), pp. 269-278.
-
(1998)
J. Convex Anal.
, vol.5
, pp. 269-278
-
-
Iusem, A.N.1
-
19
-
-
0007469909
-
An introduction to variational inequalities and their applications
-
SIAM, Philadelphia
-
D. KINDERLEHRER AND G. STAMPACCHIA, An Introduction to Variational Inequalities and Their Applications, Classics in Appl. Math. 31, SIAM, Philadelphia, 2000.
-
(2000)
Classics in Appl. Math.
, vol.31
-
-
Kinderlehrer, D.1
Stampacchia, G.2
-
20
-
-
4043166116
-
Combined relaxation methods for variational inequalities
-
Springer-Verlag, Berlin
-
I. KONNOV, Combined Relaxation Methods for Variational Inequalities, Lecture Notes in Econom. and Math. Systems 495, Springer-Verlag, Berlin, 2001.
-
(2001)
Lecture Notes in Econom. and Math. Systems
, vol.495
-
-
Konnov, I.1
-
21
-
-
0036486926
-
A combined relaxation method for a class of nonlinear variational inequalities
-
I. KONNOV, A combined relaxation method for a class of nonlinear variational inequalities, Optimization, 51 (2002), pp. 127-143.
-
(2002)
Optimization
, vol.51
, pp. 127-143
-
-
Konnov, I.1
-
22
-
-
0001645359
-
Coupling optimization methods and variational convergence
-
K. H. Hoffmann, J. B. Hiriart-Urruty, C. Lemaréchal, and J. Zowe, eds., Int. Ser. Numer. Math., Birkhauser-Verlag, Basel
-
B. LEMAIRE, Coupling optimization methods and variational convergence, in Trends in Mathematical Optimization, K. H. Hoffmann, J. B. Hiriart-Urruty, C. Lemaréchal, and J. Zowe, eds., Int. Ser. Numer. Math., Birkhauser-Verlag, Basel, 1988, pp. 163-179.
-
(1988)
Trends in Mathematical Optimization
, pp. 163-179
-
-
Lemaire, B.1
-
23
-
-
0011282601
-
Nonsmooth optimization
-
Pergamon Press, Oxford
-
C. LEMARÉCHAL AND R. MIFFLIN, Nonsmooth Optimization, IIASA Proceedings Series, Vol. 3, Pergamon Press, Oxford, 1978.
-
(1978)
IIASA Proceedings Series
, vol.3
-
-
Lemaréchal, C.1
Mifflin, R.2
-
24
-
-
0000345334
-
Splitting algorithms for the sum of two nonlinear operators
-
P. L. LIONS AND B. MERCIER, Splitting algorithms for the sum of two nonlinear operators, SIAM J. Numer. Anal., 16 (1979), pp. 964-979.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 964-979
-
-
Lions, P.L.1
Mercier, B.2
-
25
-
-
0002250027
-
Family of perturbation methods for variational inequalities
-
S. MAKLER-SCHEIMBERG, V. H. NGUYEN, AND J. J. STRODIOT, Family of perturbation methods for variational inequalities, J. Optim. Theory Appl., 89 (1996), pp. 423-452.
-
(1996)
J. Optim. Theory Appl.
, vol.89
, pp. 423-452
-
-
Makler-Scheimberg, S.1
Nguyen, V.H.2
Strodiot, J.J.3
-
26
-
-
0001566816
-
Régularisation d'inéquations variationnelles par approximations successives
-
B. MARTINET, Régularisation d'inéquations variationnelles par approximations successives, Rev. Française Automat. Inform. Rech. Opér., 4 (1970), pp. 154-159.
-
(1970)
Rev. Française Automat. Inform. Rech. Opér.
, vol.4
, pp. 154-159
-
-
Martinet, B.1
-
28
-
-
0347018320
-
New convergence results of iterative methods for set-valued mixed variational inequalities
-
A. MOUDAFI AND M. NOOR, New convergence results of iterative methods for set-valued mixed variational inequalities, Math. Inequal. Appl., 3 (2000), pp 295-303.
-
(2000)
Math. Inequal. Appl.
, vol.3
, pp. 295-303
-
-
Moudafi, A.1
Noor, M.2
-
29
-
-
0026442013
-
New types of variational principles based on the notion of quasidifferentiability
-
P. PANAGIOTOPOULOS AND G. STAVROULAKIS, New types of variational principles based on the notion of quasidifferentiability, Acta Mech., 94 (1994), pp. 171-194.
-
(1994)
Acta Mech.
, vol.94
, pp. 171-194
-
-
Panagiotopoulos, P.1
Stavroulakis, G.2
-
30
-
-
0022013294
-
Asymmetric variational inequality problems over product sets: Applications and iterative methods
-
J. S. PANG, Asymmetric variational inequality problems over product sets: Applications and iterative methods, Math. Program., 31 (1985), pp. 206-219.
-
(1985)
Math. Program.
, vol.31
, pp. 206-219
-
-
Pang, J.S.1
-
32
-
-
0003306861
-
Introduction to optimization
-
New York
-
B. T. POLYAK, Introduction to Optimization, Optimization Software, New York, 1987.
-
(1987)
Optimization Software
-
-
Polyak, B.T.1
-
33
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
34
-
-
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
-
35
-
-
0016985417
-
Monotone operators and the proximal point algorithm
-
R. T. 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
-
-
Rockafellar, R.T.1
-
37
-
-
0034348376
-
Coupling the auxiliary problem principle and the epiconvergence theory to solve general variational inequalities
-
G. SALMON, V. H. NGUYEN, AND J. J. STRODIOT, Coupling the auxiliary problem principle and the epiconvergence theory to solve general variational inequalities, J. Optim. Theory Appl., 104 (2000), pp. 629-657.
-
(2000)
J. Optim. Theory Appl.
, vol.104
, pp. 629-657
-
-
Salmon, G.1
Nguyen, V.H.2
Strodiot, J.J.3
-
38
-
-
4043135389
-
A perturbed auxiliary problem method for paramonotone multivalued mappings
-
Advances in Convex Analysis and Global Optimization, N. Hadjisavvas and P. Pardalos, eds., Kluwer, Dordrecht
-
G. SALMON, J. J. STRODIOT, AND V. H. NGUYEN, A perturbed auxiliary problem method for paramonotone multivalued mappings, in Advances in Convex Analysis and Global Optimization, N. Hadjisavvas and P. Pardalos, eds., Nonconvex Optim. Appl. 54, Kluwer, Dordrecht, 2001, pp. 515-529.
-
(2001)
Nonconvex Optim. Appl.
, vol.54
, pp. 515-529
-
-
Salmon, G.1
Strodiot, J.J.2
Nguyen, V.H.3
-
40
-
-
0026077016
-
Applications of a splitting algorithm to decomposition in convex programming and variational inequalities
-
P. TSENG, Applications of a splitting algorithm to decomposition in convex programming and variational inequalities, SIAM J. Control Optim., 29 (1991), pp. 119-138.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 119-138
-
-
Tseng, P.1
-
42
-
-
0030303868
-
Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities
-
D. L. ZHU AND P. MARCOTTE, Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities, SIAM J. Optim., 6 (1996), pp. 714-726.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 714-726
-
-
Zhu, D.L.1
Marcotte, P.2
|