-
1
-
-
0002631476
-
On the convergence of the PIES algorithm for computing equilibria
-
Ahn, B. H., W. W. Hogan (1982). On the convergence of the PIES algorithm for computing equilibria. Oper. Res. 30 281-300.
-
(1982)
Oper. Res.
, vol.30
, pp. 281-300
-
-
Ahn, B.H.1
Hogan, W.W.2
-
2
-
-
0000983980
-
Un theoreme de type ergodique pour les contractions non lineaires dans un espace de Hilbert
-
Baillon, J. B. (1975). Un theoreme de type ergodique pour les contractions non lineaires dans un espace de Hilbert. C.R. Acad. Sci. Paris 28 1511-1514.
-
(1975)
C.R. Acad. Sci. Paris
, vol.28
, pp. 1511-1514
-
-
Baillon, J.B.1
-
4
-
-
0003713964
-
-
Athena Scientific, Belmont MA
-
_ (1995). Nonlinear Programming. Athena Scientific, Belmont MA.
-
(1995)
Nonlinear Programming
-
-
-
5
-
-
0000050153
-
Projection methods for variational inequalities with application to traffic assignment problem
-
_, E. M. Gafni (1982). Projection methods for variational inequalities with application to traffic assignment problem. Math Programming Stud. 17 139-159.
-
(1982)
Math Programming Stud.
, vol.17
, pp. 139-159
-
-
Gafni, E.M.1
-
7
-
-
0000827660
-
Construction of fixed points of nonlinear mappings in Hilbert space
-
Browder, F. E., W. V. Petryshyn (1967). Construction of fixed points of nonlinear mappings in Hilbert space. J. Math. Anal. Appl. 20 197-228.
-
(1967)
J. Math. Anal. Appl.
, vol.20
, pp. 197-228
-
-
Browder, F.E.1
Petryshyn, W.V.2
-
8
-
-
84966250602
-
An iterative solution of a variational inequality for certain monotone operators in Hilbert space
-
Bruck, R. E., Jr. (1975). An iterative solution of a variational inequality for certain monotone operators in Hilbert space. Bull. Amer. Math. Soc. 81 890-892.
-
(1975)
Bull. Amer. Math. Soc.
, vol.81
, pp. 890-892
-
-
Bruck Jr., R.E.1
-
9
-
-
0040215221
-
On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hibert space
-
_ (1977). On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hibert space. J. Math. Anal. Appl. 61 159-164.
-
(1977)
J. Math. Anal. Appl.
, vol.61
, pp. 159-164
-
-
-
10
-
-
0024113095
-
Auxiliary problem principle extended to variational inequalities
-
Cohen, G. (1988). Auxiliary problem principle extended to variational inequalities. J. Optim. Theory Appl. 59 325-333.
-
(1988)
J. Optim. Theory Appl.
, vol.59
, pp. 325-333
-
-
Cohen, G.1
-
11
-
-
0020125717
-
Relaxation algorithms for the general asymmetric traffic equilibrium problem
-
Dafermos, S. (1982). Relaxation algorithms for the general asymmetric traffic equilibrium problem. Transportation Sci. 16 231-240.
-
(1982)
Transportation Sci.
, vol.16
, pp. 231-240
-
-
Dafermos, S.1
-
12
-
-
0020748950
-
An iterative scheme for variational inequalities
-
_ (1983). An iterative scheme for variational inequalities. Math. Programming 26 40-47.
-
(1983)
Math. Programming
, vol.26
, pp. 40-47
-
-
-
13
-
-
0003937110
-
On recursive averaging processes and Hubert space extensions of the contraction mapping principle
-
Dunn, J. C. (1973). On recursive averaging processes and Hubert space extensions of the contraction mapping principle. J. Franklin Inst. 295 117-133.
-
(1973)
J. Franklin Inst.
, vol.295
, pp. 117-133
-
-
Dunn, J.C.1
-
14
-
-
33645478864
-
Network equilibria
-
M. Ball, T. Magnanti, C. Monma and G. Nemhauser eds., Elsevier, Amsterdam, The Netherlands
-
Florian, M., D. Hearn (1995). Network equilibria. M. Ball, T. Magnanti, C. Monma and G. Nemhauser eds., Handbook of Operations Research and Management Science, Network Routing, Elsevier, Amsterdam, The Netherlands.
-
(1995)
Handbook of Operations Research and Management Science, Network Routing
-
-
Florian, M.1
Hearn, D.2
-
15
-
-
0026763569
-
Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
-
Fukushima, M. (1992). Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems. Math. Programming 53 99-110.
-
(1992)
Math. Programming
, vol.53
, pp. 99-110
-
-
Fukushima, M.1
-
16
-
-
0002608770
-
Applications of the method of multipliers to variational inequalities
-
M. Fortin, R. Glowinski, eds., North-Holland, Amsterdam
-
Gabay, D. (1983). Applications of the method of multipliers to variational inequalities. M. Fortin, R. Glowinski, eds., Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems. North-Holland, Amsterdam.
-
(1983)
Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems
-
-
Gabay, D.1
-
17
-
-
0023453430
-
Generalized descent methods for asymmetric systems of equations
-
Hammond, J. H., T. L. Magnanti (1987). Generalized descent methods for asymmetric systems of equations. Math. Oper. Res. 12 678-699.
-
(1987)
Math. Oper. Res.
, vol.12
, pp. 678-699
-
-
Hammond, J.H.1
Magnanti, T.L.2
-
18
-
-
0009273388
-
Lectures on computation of equilibria with equation-based methods
-
Harker, P. T. (1993). Lectures on computation of equilibria with equation-based methods. CORE Lecture Series.
-
(1993)
CORE Lecture Series
-
-
Harker, P.T.1
-
19
-
-
0344704362
-
Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
-
_, J. S. Pang (1990). Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math. Programming 48 161-220.
-
(1990)
Math. Programming
, vol.48
, pp. 161-220
-
-
Pang, J.S.1
-
20
-
-
84968499765
-
Fixed points of a nonexpansive mapping in a banach space
-
Ishikawa, S. (1976). Fixed points of a nonexpansive mapping in a banach space. Proc. Amer. Math. Soc. 59 65-71.
-
(1976)
Proc. Amer. Math. Soc.
, vol.59
, pp. 65-71
-
-
Ishikawa, S.1
-
21
-
-
6244282842
-
An iterative method for variational inequalities with application to traffic equilibrium problems
-
Itoh, T., M. Fukushima, T. Ibaraki (1988). An iterative method for variational inequalities with application to traffic equilibrium problems. J. Oper. Res. Soc. Japan 31 82-103.
-
(1988)
J. Oper. Res. Soc. Japan
, vol.31
, pp. 82-103
-
-
Itoh, T.1
Fukushima, M.2
Ibaraki, T.3
-
22
-
-
0000005602
-
The extragradient method for finding saddle points and other problems
-
Korpelevich, G. M. (1976). The extragradient method for finding saddle points and other problems. Econom. Math. Methods 12 747-756.
-
(1976)
Econom. Math. Methods
, vol.12
, pp. 747-756
-
-
Korpelevich, G.M.1
-
23
-
-
0011339710
-
A decomposition property for a class of square matrices
-
Luo, Z., P. Tseng (1991). A decomposition property for a class of square matrices. Appl. Math. Lett. 4 67-69.
-
(1991)
Appl. Math. Lett.
, vol.4
, pp. 67-69
-
-
Luo, Z.1
Tseng, P.2
-
26
-
-
0003303688
-
A unifying geometric solution framework and complexity analysis for variational inequalities
-
_, _(1996a). A unifying geometric solution framework and complexity analysis for variational inequalities. Math. Programming 71 327-352.
-
(1996)
Math. Programming
, vol.71
, pp. 327-352
-
-
-
27
-
-
6244304394
-
-
Preprint, Presentation at MIT Optimization Day, May 1995 and INFORMS Conference, October 1996
-
_, _(1996b). Solving fixed point problems by averaging and optimizing potentials. Preprint, Presentation at MIT Optimization Day, May 1995 and INFORMS Conference, October 1996.
-
(1996)
Solving Fixed Point Problems by Averaging and Optimizing Potentials
-
-
-
28
-
-
0031541323
-
The orthogonality theorem and the strong-f-monotonicity condition for variational inequality algorithms
-
_, _(1997). The orthogonality theorem and the strong-f-monotonicity condition for variational inequality algorithms. SIAM J. Optim. 7, 1, 248-273.
-
(1997)
SIAM J. Optim.
, vol.7
, Issue.1
, pp. 248-273
-
-
-
29
-
-
84968518052
-
Mean value methods in iteration
-
Mann, W. R. (1953). Mean value methods in iteration. Proc. Amer. Math. Soc. 4 506-510.
-
(1953)
Proc. Amer. Math. Soc.
, vol.4
, pp. 506-510
-
-
Mann, W.R.1
-
30
-
-
33745766633
-
On the convergence of projection methods: Application to the decomposition of affine variational inequalities
-
Marcotte, P., J. H. Wu (1995). On the convergence of projection methods: Application to the decomposition of affine variational inequalities. J. Optim. Theory Appl. 85 347-362.
-
(1995)
J. Optim. Theory Appl.
, vol.85
, pp. 347-362
-
-
Marcotte, P.1
Wu, J.H.2
-
32
-
-
0001601094
-
Newton's method for B-differentiable equations
-
Pang, J. S. (1990a). Newton's method for B-differentiable equations. Math. Oper. Res. 15 311-341.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 311-341
-
-
Pang, J.S.1
-
33
-
-
0025451668
-
Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
-
_ (1990b). Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets. J. Optim. Theory Appl. 66 121 - 135.
-
(1990)
J. Optim. Theory Appl.
, vol.66
, pp. 121-135
-
-
-
34
-
-
0026185912
-
A B-differentiable, equation-based, globally and locally quadratic convergent algorithm for nonlinear programs, complementarity and variational inequality problems
-
_ (1991). A B-differentiable, equation-based, globally and locally quadratic convergent algorithm for nonlinear programs, complementarity and variational inequality problems. Math. Programming 51 101 - 131.
-
(1991)
Math. Programming
, vol.51
, pp. 101-131
-
-
-
35
-
-
0003000071
-
Complementarity problems
-
R. Horst and P. Pardalos, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands
-
_ (1994). Complementarity problems, R. Horst and P. Pardalos, eds., Handbook of Global Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands.
-
(1994)
Handbook of Global Optimization
-
-
-
36
-
-
0020243016
-
Iterative methods for variational and complementarity problems
-
_, D. Chan (1982). Iterative methods for variational and complementarity problems. Math. Programming 24 284-313.
-
(1982)
Math. Programming
, vol.24
, pp. 284-313
-
-
Chan, D.1
-
37
-
-
0003317924
-
Nonsmooth equations: Motivation and algorithms
-
_, L. Qi (1993). Nonsmooth equations: Motivation and algorithms. SIAM J. Optim. 3, 3, 443-465.
-
(1993)
SIAM J. Optim.
, vol.3
, Issue.3
, pp. 443-465
-
-
Qi, L.1
-
38
-
-
0000120615
-
Ergodic convergence to a zero of the sum of monotone operators in Hubert space
-
Passty, G. B. (1979). Ergodic convergence to a zero of the sum of monotone operators in Hubert space. J. Math. Anal. Appl. 72 383-390.
-
(1979)
J. Math. Anal. Appl.
, vol.72
, pp. 383-390
-
-
Passty, G.B.1
-
39
-
-
0347924000
-
-
Ph.D. Dissertation, Department of Applied Mathematics, Brown University, Providence R.I.
-
Perakis, G. (1993). Geometric, interior point, and classical methods for solving finite dimensional variational inequality problems, Ph.D. Dissertation, Department of Applied Mathematics, Brown University, Providence R.I.
-
(1993)
Geometric, Interior Point, and Classical Methods for Solving Finite Dimensional Variational Inequality Problems
-
-
Perakis, G.1
-
40
-
-
51249189125
-
Methodes iteratives pour les equations et inequations aux derivees partielles nonlinearies de type monotone
-
Sibony, M. (1970). Methodes iteratives pour les equations et inequations aux derivees partielles nonlinearies de type monotone. Calcolo 7 65-183.
-
(1970)
Calcolo
, vol.7
, pp. 65-183
-
-
Sibony, M.1
-
41
-
-
0030243756
-
Modified projection-type methods for monotone variational inequalities
-
Sodolov, M. V., P. Tseng (1996). Modified projection-type methods for monotone variational inequalities. SIAM J. Control and Optim. 34 1814-1830.
-
(1996)
SIAM J. Control and Optim.
, vol.34
, pp. 1814-1830
-
-
Sodolov, M.V.1
Tseng, P.2
-
42
-
-
0000626995
-
Further applications of a matrix splitting algorithm to decomposition in variational inequalities and convex programming
-
Tseng, P. (1990). Further applications of a matrix splitting algorithm to decomposition in variational inequalities and convex programming. Math. Programming 48 249-264.
-
(1990)
Math. Programming
, vol.48
, pp. 249-264
-
-
Tseng, P.1
-
43
-
-
0025430267
-
Partially asynchronous, parallel algorithms for network flow problems and other problems
-
_, D. P. Bertsekas, J. N. Tsitsiklis (1990). Partially asynchronous, parallel algorithms for network flow problems and other problems. Soc. Indust. Appl. Math. 28 678-710.
-
(1990)
Soc. Indust. Appl. Math.
, vol.28
, pp. 678-710
-
-
Bertsekas, D.P.1
Tsitsiklis, J.N.2
-
44
-
-
0027664261
-
A general descent framework for the monotone variational inequality problem
-
Wu, J. H., P. Marcotte, M. Florian (1993). A general descent framework for the monotone variational inequality problem. Math. Programming 61 281-300.
-
(1993)
Math. Programming
, vol.61
, pp. 281-300
-
-
Wu, J.H.1
Marcotte, P.2
Florian, M.3
-
45
-
-
0010759844
-
Modified descent methods for solving the monotone variational inequality problem
-
Zhu, D. L., P. Marcotte (1993). Modified descent methods for solving the monotone variational inequality problem. Oper. Res. Lett. 14 111-120.
-
(1993)
Oper. Res. Lett.
, vol.14
, pp. 111-120
-
-
Zhu, D.L.1
Marcotte, P.2
-
46
-
-
0030303868
-
Co-cocoercivity and its role in the convergence of iterative schemes for solving variational inequalities
-
_, _ (1996). Co-cocoercivity and its role in the convergence of iterative schemes for solving variational inequalities. SIAM J. Optim. 3, 6, 714-726.
-
(1996)
SIAM J. Optim.
, vol.3
, Issue.6
, pp. 714-726
-
-
|