-
1
-
-
0344704362
-
Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms, and applications
-
1. HARKER, P. T., and PANG, J. S., Finite-Dimensional Variational Inequality and Nonlinear Complementarity Problems: A Survey of Theory, Algorithms, and Applications, Mathematical Programming, Vol. 48, pp. 161-220, 1990.
-
(1990)
Mathematical Programming
, vol.48
, pp. 161-220
-
-
Harker, P.T.1
Pang, J.S.2
-
2
-
-
0016941970
-
Complementarity problems over cones with monotone and pseudomonotone maps
-
2. KARAMARDIAN, S., Complementarity Problems over Cones with Monotone and Pseudomonotone Maps, Journal of Optimization Theory and Applications, Vol. 18, pp. 445-455, 1976.
-
(1976)
Journal of Optimization Theory and Applications
, vol.18
, pp. 445-455
-
-
Karamardian, S.1
-
4
-
-
0003295736
-
Nonlinear programming
-
Philadelphia, Pennsylvania
-
4. MANGASARIAN, O. L., Nonlinear Programming, SIAM, Philadelphia, Pennsylvania, 1994.
-
(1994)
SIAM
-
-
Mangasarian, O.L.1
-
5
-
-
0025451933
-
Seven kinds of monotone maps
-
5. KARAMARDIAN, S., and SCHAIBLE, S., Seven Kinds of Monotone Maps, Journal of Optimization Theory and Applications, Vol. 66, pp. 37-47, 1990.
-
(1990)
Journal of Optimization Theory and Applications
, vol.66
, pp. 37-47
-
-
Karamardian, S.1
Schaible, S.2
-
6
-
-
0000187014
-
Generalized monotonicity: A survey
-
S. Komlosi, R. Rapcsak, and S. Schaible, Springer Verlag, Heidelberg, Germany
-
6. SCHAIBLE, S., Generalized Monotonicity: A Survey, Generalized Convexity, Edited by S. Komlosi, R. Rapcsak, and S. Schaible, Springer Verlag, Heidelberg, Germany, pp. 229-249, 1994.
-
(1994)
Generalized Convexity
, pp. 229-249
-
-
Schaible, S.1
-
7
-
-
0027553055
-
Characterizations of generalized monotone maps
-
7. KARAMARDIAN, S., SCHAIBLE, S., and CROUZEIX, J. P., Characterizations of Generalized Monotone Maps, Journal of Optimization Theory and Applications, Vol. 76, pp. 399-413, 1993.
-
(1993)
Journal of Optimization Theory and Applications
, vol.76
, pp. 399-413
-
-
Karamardian, S.1
Schaible, S.2
Crouzeix, J.P.3
-
8
-
-
21844519102
-
Generalized monotonicity and generalized convexity
-
8. KOMLOSI, S., Generalized Monotonicity and Generalized Convexity, Journal of Optimization Theory and Applications, Vol. 84, pp. 361-376, 1995.
-
(1995)
Journal of Optimization Theory and Applications
, vol.84
, pp. 361-376
-
-
Komlosi, S.1
-
9
-
-
21844499129
-
New classes of generalized monotonicity
-
9. ZHU, D., and MARCOTTE, P., New Classes of Generalized Monotonicity, Journal of Optimization Theory and Applications, Vol. 87, pp. 457-471, 1995.
-
(1995)
Journal of Optimization Theory and Applications
, vol.87
, pp. 457-471
-
-
Zhu, D.1
Marcotte, P.2
-
10
-
-
0000756716
-
Generalized monotonicity: Concepts and uses
-
F. Giannessi and A. Maugeri, Plenum Publishing Corporation, New York, NY
-
10. SCHAIBLE, S., Generalized Monotonicity: Concepts and Uses, Variational Inequalities and Network Equilibrium Problems, Edited by F. Giannessi and A. Maugeri, Plenum Publishing Corporation, New York, NY, pp. 289-299, 1995.
-
(1995)
Variational Inequalities and Network Equilibrium Problems
, pp. 289-299
-
-
Schaible, S.1
-
11
-
-
0001021845
-
Variational inequalities with generalized monotone operators
-
11. YAO, J. C., Variational Inequalities with Generalized Monotone Operators, Mathematics of Operations Research, Vol. 19, pp. 691-705, 1994.
-
(1994)
Mathematics of Operations Research
, vol.19
, pp. 691-705
-
-
Yao, J.C.1
-
12
-
-
0028545469
-
Multivalued variational inequalities with K-Pseudomonotone operators
-
12. YAO, J. C., Multivalued Variational Inequalities with K-Pseudomonotone Operators, Journal of Optimization Theory and Applications, Vol. 83, pp. 391-403, 1994.
-
(1994)
Journal of Optimization Theory and Applications
, vol.83
, pp. 391-403
-
-
Yao, J.C.1
-
13
-
-
0001970539
-
Pseudomonotone variational inequality problems: Existence of solutions
-
13. CROUZEIX, J. P., Pseudomonotone Variational Inequality Problems: Existence of Solutions, Mathematical Programming, Vol. 78, pp. 305-314, 1997.
-
(1997)
Mathematical Programming
, vol.78
, pp. 305-314
-
-
Crouzeix, J.P.1
-
14
-
-
0030303868
-
Cocoercivity and its role in the convergence of iterative schemes for solving variational inequalities
-
14. ZHU, D. L., and MARCOTTE, P., Cocoercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities, SIAM Journal on Optimization, Vol. 6, pp. 714-726, 1996.
-
(1996)
SIAM Journal on Optimization
, vol.6
, pp. 714-726
-
-
Zhu, D.L.1
Marcotte, P.2
-
15
-
-
0027113845
-
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
-
15. ECKSTEIN, J., and BERTSEKAS, D. P., On the Douglas-Rachford Splitting Method and the Proximal Point Algorithm for Maximal Monotone Operators, Mathematical Programming, Vol. 55, pp. 293-318, 1992.
-
(1992)
Mathematical Programming
, vol.55
, pp. 293-318
-
-
Eckstein, J.1
Bertsekas, D.P.2
-
16
-
-
0003729782
-
-
Thesis Dissertation, École des Mines de Paris, Fontainebleau, France
-
16. MATAOUI, M. A., Contributions à la Décomposition et à l'Agrégation des Problèmes Variationnels, Thesis Dissertation, École des Mines de Paris, Fontainebleau, France, 1990.
-
(1990)
Contributions À la Décomposition et À L'agrégation des Problèmes Variationnels
-
-
Mataoui, M.A.1
-
17
-
-
0000892796
-
Equations et inéquations nonlinéaires dans les espaces vectoriels en dualité
-
17. BREZIS, H., Equations et Inéquations Nonlinéaires dans les Espaces Vectoriels en Dualité, Annales de l'Institut Fourier, Vol. 18, pp. 115-175, 1968.
-
(1968)
Annales de l'Institut Fourier
, vol.18
, pp. 115-175
-
-
Brezis, H.1
-
18
-
-
0000157662
-
Submonotone mappings and the proximal point algorithm
-
18. SPINGARN, J. E., Submonotone Mappings and the Proximal Point Algorithm, Numerical Functional Analysis and Optimization, Vol. 4, pp. 123-150, 1981-1982.
-
(1981)
Numerical Functional Analysis and Optimization
, vol.4
, pp. 123-150
-
-
Spingarn, J.E.1
-
19
-
-
85085719548
-
Pseudomonotone variational inequalities: Convergence of the auxiliary problem method
-
to appear
-
19. EL FAROUQ, N., Pseudomonotone Variational Inequalities: Convergence of the Auxiliary Problem Method, Journal of Optimization Theory and Applications (to appear).
-
Journal of Optimization Theory and Applications
-
-
El Farouq, N.1
-
20
-
-
0002676589
-
The proximal algorithm
-
Birkhäuser, Basel, Switzerland
-
20. LEMAIRE, B., The Proximal Algorithm, International Series of Numerical Mathematics, Birkhäuser, Basel, Switzerland, Vol. 87, pp. 73-87, 1989.
-
(1989)
International Series of Numerical Mathematics
, vol.87
, pp. 73-87
-
-
Lemaire, B.1
-
21
-
-
0007113521
-
About the convergence of the proximal method
-
Springer Verlag
-
21. LEMAIRE, B., About the Convergence of the Proximal Method, Advances in Optimization, Proceedings of Lambrecht 1991, Lecture in Economics and Mathematical Systems, Springer Verlag, Vol. 382, pp. 39-51, 1992.
-
(1992)
Advances in Optimization, Proceedings of Lambrecht 1991, Lecture in Economics and Mathematical Systems
, vol.382
, pp. 39-51
-
-
Lemaire, B.1
-
22
-
-
0001566816
-
Régularisation d'inéquations variationnelles par approximations successives
-
22. MARTINET, B., Régularisation d'Inéquations Variationnelles par Approximations Successives, Revue d'Automatique, d'Informatique et de Recherche Opérationnelle, Série Rouge, Vol. 3, pp. 154-159, 1970.
-
(1970)
Revue d'Automatique, D'informatique et de Recherche Opérationnelle, Série Rouge
, vol.3
, pp. 154-159
-
-
Martinet, B.1
-
24
-
-
0001702688
-
Nonlinear proximal point algorithms using Bregman functions
-
24. ECKSTEIN, J., Nonlinear Proximal Point Algorithms Using Bregman Functions, Mathematics of Operations Research, Vol. 18, pp. 202-226, 1993.
-
(1993)
Mathematics of Operations Research
, vol.18
, pp. 202-226
-
-
Eckstein, J.1
-
25
-
-
0016985417
-
Monotone operators and the proximal point algorithm
-
25. ROCKAFELLAR, R. T., Monotone Operators and the Proximal Point Algorithm, SIAM Journal on Control and Optimization, Vol. 14, pp. 877-898, 1976.
-
(1976)
SIAM Journal on Control and Optimization
, vol.14
, pp. 877-898
-
-
Rockafellar, R.T.1
-
26
-
-
49949144765
-
The relaxation method of finding the common point of convex sets and its applications to the solution of problems in convex programming
-
26. BREGMAN, L. M., The Relaxation Method of Finding the Common Point of Convex Sets and Its Applications to the Solution of Problems in Convex Programming, USSR Computational Mathematics and Mathematical Physics, Vol. 7, pp. 200-217, 1967.
-
(1967)
USSR Computational Mathematics and Mathematical Physics
, vol.7
, pp. 200-217
-
-
Bregman, L.M.1
-
27
-
-
0003678750
-
-
Springer Verlag, Berlin, Germany
-
27. ZEIDLER, E., Nonlinear Functional Analysis and Its Applications, II/B: Nonlinear Monotone Operators, Springer Verlag, Berlin, Germany, 1990.
-
(1990)
Nonlinear Functional Analysis and its Applications, II/B: Nonlinear Monotone Operators
-
-
Zeidler, E.1
|