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All issues Volume 2 / No 13 (1968) R.I.R.O., 2 13 (1968) 27-60 References
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Issue
R.I.R.O.
Volume 2, Number 13, 1968
Page(s) 27 - 60
DOI https://doi.org/10.1051/m2an/196802R300271
Published online 01 February 2017
  1. ABADIE J., On the Kuhn-Tucker theorem, Non-linear programming. A course-North Holland Publishing Compagny, 1967. [MR: 218116] [Zbl: 0183.22803] [Google Scholar]
  2. ARROW K. J.,HURWICZ L. et UZAWA H., Studies in linear and non-linear programming Stanford University Press, California, 1958. [MR: 108399] [Zbl: 0091.16002] [Google Scholar]
  3. BERGE C. et GHOUILA-HOURI A., Programmes, jeux et réseaux de transport, Dunod, 1962. [MR: 192912] [Zbl: 0111.17302] [Google Scholar]
  4. BORGET G., Sur l'application d'une méthode de dualité à un problème d'optimisation dynamique à critère quadratique. Thèse de Docteur-Ingénieur Faculté des Sciences,de Caen, 1966. [Google Scholar]
  5. BOURBAKI N., Espaces vectoriels topologiques, Hermann, Paris, 1955. [Zbl: 0066.35301] [Google Scholar]
  6. CHARNES A., COOPER W. W., KORTANEK K., A duality theorem for convex programs for convex constraints, Bull. Amer, Math. Soc. 63, 1962, 605-608. [MR: 143654] [Zbl: 0131.36502] [Google Scholar]
  7. DENNIS J. B., Mathematical Programming and Electrical Networks, Technology Press and John Wiley and Sons, New York, 1959. [MR: 108400] [Google Scholar]
  8. DORN W. S., A duality theorem for convex programs. IBM J. of Res. Dev. 4, 1960, 407-413. [MR: 114672] [Zbl: 0095.14503] [Google Scholar]
  9. DUFFIN R. J., Infinite programs. Linear inequalities and related Systems (edited by Kuhn and Tucker), 1956, 158-170. [MR: 87573] [Zbl: 0072.37603] [Google Scholar]
  10. FAN K., A generalization of the Alaoglu-Bourbaki theorem and its applications,Math. Zeithschr, 88, 1965, 48-60. [EuDML: 170395] [MR: 178326] [Zbl: 0135.34402] [Google Scholar]
  11. HANSON M. A., A duality theorem in non-linear programming with non linear constraints. Australian J. Statistics, 3, 1961, 64-72. [MR: 138508] [Zbl: 0102.15601] [Google Scholar]
  12. HUARD P., Mathématique des programmes économiques, Monographies de R. O, Dunod, 1961, 13-18. [Zbl: 0204.19505] [Google Scholar]
  13. KARLIN S., Mathematical methods and theory in games, programming and economies, Addison-Wesley Publishing Compagny, Inc., 1959, vol. I. [MR: 1160778] [Google Scholar]
  14. KUHN H. W. and TUCKER A. W., Non-linear programming. Proceedings of the second Berkeley Symposium, University of California Press, 1951, 481-492. [MR: 47303] [Zbl: 0044.05903] [Google Scholar]
  15. MANGASARIAN O. L., Duality in non-Linear programming. Quart, Appl. Math., vol. XX, 1962, 300-302. [Zbl: 0113.35703] [Google Scholar]
  16. MANGASARIAN O. L. and PONSTEIN J., Minimax and duality in non-linear programming, J. of Math. An. and Appl., 11, 1965, 504-518. [MR: 183538] [Zbl: 0131.18601] [Google Scholar]
  17. MOREAU J. J., Fonctionnelles convexes. Séminaire sur les équations aux dérivée partielles, Collège de France, 1966-1967. [EuDML: 112529] [MR: 390443] [Google Scholar]
  18. PALLU DE LA BARRIERE R., Duality in dynamic programming. lst International Conference on programming and control, Colorado Springs, SIAM Journal of Control vol. 4, n° 1, Feb. 1966. [Zbl: 0158.10101] [Google Scholar]
  19. PSENICNYJ B. N., Programmation convexe dans un espace normé, Kibernetika (en russe), 1965, 5, 46-54. [Google Scholar]
  20. RAFFIN Cl., a) Programmation mathématique et dualité. Séminaire de Statistique de l'Université de Poitiers (mars 1966), publié dans les Cahiers du B.U.R.O. (I.S.U.P.), cahier n° 10, 1-22. [EuDML: 272694] [Google Scholar]
  21. RAFFIN Cl., b) Comptes rendus de l'Académie des Sciences de Paris, 265, A, 1967, p. 177 et 265, A, 1967, p. 193. [Zbl: 0157.49801] [Google Scholar]
  22. RAFFIN Cl., c) Comptes rendus de l'Académie des Sciences de Paris, 266, A, 1968, p. 766 et 266, A, 1968, p. 839. [Google Scholar]
  23. ROCKAFELLAR R. T., a) Characterization of the subdifferentials of convex functions. Pacific J. of Math., vol. XVII, 1966, 497-510. [MR: 193549] [Zbl: 0145.15901] [Google Scholar]
  24. ROCKAFELLAR R. T.. b) Extension of Fenchel's duality theorem for convex functions, Duke Math. Journal 33-1, March 1966, 81-89. [MR: 187062] [Zbl: 0138.09301] [Google Scholar]
  25. STOER J., Duality in non-linear programming and the min-max theorem, Num. Math., 5, 1963, 371-379. [EuDML: 131578] [Zbl: 0152.38104] [Google Scholar]
  26. WHINSTON A., Some applications of the conjugate function theory to duality,in [1]. [Zbl: 0178.22803] [Google Scholar]
  27. WOLFE P., A duality theorem for non-linear programming, Quart. Appl. Math., 19, 1961, 239-244. [MR: 135625] [Zbl: 0109.38406] [Google Scholar]

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