Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Chien, Tran Quoc. Duality in vector optimization. I. Abstract duality scheme. Kybernetika, Tome 20 (1984) no. 4, pp. 304-313. http://geodesic.mathdoc.fr/item/KYB_1984_20_4_a2/
@article{KYB_1984_20_4_a2,
author = {Chien, Tran Quoc},
title = {Duality in vector optimization. {I.} {Abstract} duality scheme},
journal = {Kybernetika},
pages = {304--313},
year = {1984},
volume = {20},
number = {4},
mrnumber = {768510},
zbl = {0556.49010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1984_20_4_a2/}
}
[1] G. S. Rubinstein: Duality in mathematical programming and some question of convex analysis. Uspehi Mat. Nauk 25 {155) (1970), 5, 171- 201. In Russian. | MR
[2] V. V. Podinovskij, V. D. Nogin: Pareto Optimal Solutions in Multiobjective Problems. Nauka, Moscow 1982. In Russian.
[3] T. Tanino: Saddle points and duality in multi-objective programming. Internat. J. Systems Sci. 13 (1982), 3, 323-335. | MR | Zbl
[4] J. W. Niewehuis: Supremal points and generalized duality. Math. Operationsforsch. Statist. Ser. Optim. 11 (1980), 1, 41-59. | MR
[5] T. Tanino, Y. Sawaragi: Duality theory in multiobjective programming. J. Optim. Theory Appl. 27 (1979), 4, 509-529. | MR | Zbl
[6] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective programming. J. Optim. Theory Appl. 31 (1980), 4, 473-499. | MR
[7] S. Brumelle: Duality for multiobjective programming convex programning. Math. Oper. Res. 6 (1981), 2, 159-172. | MR
[8] D. Wolfe: A duality theorem for nonlinear programming. Quart. Appl. Math. 19 (1981), 239-244.
[9] M. Schechter: A subgradient duality theorem. J. Math. Anal. Appl. 61 (1977), 850-855. | MR | Zbl
[10] R. T. Rockafellar: Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM J. Control 12 (1974), 2, 268-285. | MR | Zbl
[11] S. Schaible: Fractional programming I, duality. Management Sci. 23 (1976), 8, 858-867. | MR | Zbl
[12] S. Schaible: Duality in fractional programming: a unified approach. Oper. Res. 24 (1976), 452-461. | MR | Zbl