Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblChien, Tran Quoc. Duality and optimality conditions in abstract concave maximization. Kybernetika, Tome 21 (1985) no. 2, pp. 108-117. http://geodesic.mathdoc.fr/item/KYB_1985_21_2_a2/
@article{KYB_1985_21_2_a2,
author = {Chien, Tran Quoc},
title = {Duality and optimality conditions in abstract concave maximization},
journal = {Kybernetika},
pages = {108--117},
year = {1985},
volume = {21},
number = {2},
mrnumber = {797324},
zbl = {0569.90086},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1985_21_2_a2/}
}
[1] R. B. Holmes: Geometrical Functional Analysis and Its Applications. Springer-Verlag, Berlin 1975. | MR
[2] V. V. Podinovskij, V. D. Nogin: Pareto-Optimization Solutions of Multicriterial Programs. (in Russian). Nauka, Moscow 1982.
[3] G. P. Akilov, S. S. Kutatelaze: Ordered Vector Spaces. (in Russian). Nauka, Moscow 1978.
[4] Tran Quoc Chien: Duality in vector optimization. Part I. Abstract duality scheme. Kybernetika 20 (1984), 4, 304-314. | MR
[5] J. Bair: On the convex programming problem in an ordered vector space. Bull. Soc. Roy. Sci. Liège 46 (1977), 234-240. | MR | Zbl
[6] G. R. Bitran: Duality for nonlinear multiple-criteria optimization problems. J. Optim. Theory Appl. 35 (1981), 3, 367-401. | MR | Zbl
[7] M. Minami: Weak Pareto optimality of multiobjective problems in a locally convex linear topological space. J. Optim. Theory Appl. 34 (1981), 4, 469-484. | MR | Zbl
[8] J. W. Nieuwenhuis: Supremai points and generalized duality. Math. Operationsforschung Statist. Ser. Optim. 11 (1980), 1, 41-59. | MR
[9] A. Ya. Dubovskij, A. A. Milyutin: Constrained extremal problems. Ž. Vyčisl. Mat. i Mat. Fiz. 5 (1965), 3, 395-453.
[10] V. F. Demjanov, L. V. Vasiljev: Nondifferential Optimization. (in Russian). Nauka, Moscow 1981.
[11] T. Tanino, Y. Sawaragi: Duality theory in multiobjective programming. J. Optim. Theory Appl. 27 (1979), 4, 509-529. | MR | Zbl
[12] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective optimization. J. Optim. Theory Appl,. 31 (1980), 4, 473-499. | MR | Zbl
[13] J. Zowe: Fenchelsche Dualitätsaussagen in endlichdimensionalen halbgeordneten Vektor-räumen. Z. Angew. Math. Mech. 53 (1973), 230-232. | MR
[14] C. Gros: Generalization of Fenchel's duality theorem for convex vector optimization. European J. Oper. Res. 2 (1979), 369-376. | MR