Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Chien, Tran Quoc. Nondifferentiable and quasidifferentiable duality in vector optimization theory. Kybernetika, Tome 21 (1985) no. 4, pp. 298-312. http://geodesic.mathdoc.fr/item/KYB_1985_21_4_a5/
@article{KYB_1985_21_4_a5,
author = {Chien, Tran Quoc},
title = {Nondifferentiable and quasidifferentiable duality in vector optimization theory},
journal = {Kybernetika},
pages = {298--312},
year = {1985},
volume = {21},
number = {4},
mrnumber = {815617},
zbl = {0579.90091},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1985_21_4_a5/}
}
[1] V. V. Podinovskij, V. D. Nogin: Pareto Optimal Solutions in Multiobjective Problems. Nauka, Moscow 1982 (in Russian).
[2] T. Tanino: Saddle points and duality in multi-objective programming. Internal. J. System Sci. 13 (1982), 3, 323-335. | MR | Zbl
[3] J. W. Nieuwenhuis: Supremal points and generalized duality. Math. Operationsforsch. Statist. Ser. Optim. 11 (1980), 1, 41-59. | MR | Zbl
[4] T. Tanino, Y Sawaragi: Duality theory in multiobjective programming. J. Optim. Theory Appl. 27 (1979), 4, 509-529. | MR | Zbl
[5] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective programming. J. Optim. Theory Appl. 31 (1980), 4, 473-499. | MR
[6] S. Brumelle: Duality for multiobjective convex programming. Math. Opуr. Res. 6 (1981), 2, 159-172. | MR
[7] Tran Quoc Chien: Duality and optimally conditions in abstract concave maximization. Kybernetika 21 (1985), 2, 108-117. | MR
[8] Tran Quoc Chien: Duality in vector optimization. Part I: Abstract duality scheme. Kybernetika 20 (1984), 4, 304-313. | MR
[9] Tran Quoc Chien: Duality in vector optimization. Part 2: Vector quasiconcave programming. Kybernetika 20 (1984), 5, 386-404. | MR
[10] Tran Quoc Chien: Duality in vector optimization. Part 3: Partially quasiconcave programming and vector fractional programming. Kybernetika 20 (1984), 6, 458-472. | MR
[11] I. Ekeland, R. Teman: Convex Analysis and Variational Problems. North-Holland, American Elsevier, Amsterdam, New York 1976. | MR
[12] R. Holmes: Geometrical Functional Analysis and its Applications. Springor-Verlag, Berlin 1975.
[13] E. G. Golstein: Duality Theory in Mathematical Programming and its Applications. Nauka. Moscow 1971 (in Russian). | MR
[14] C. Zalinescu: A generalization of the Farkas lemma and applications to convex programming. J. Math. Anal. Applic. 66 (1978), 3, 651-678. | MR | Zbl
[15] B. M. Glover: A generalized Farkas lemma with applications to quasidifferentiable programming. Oper. Res. 26 (1982), 7, 125-141. | MR | Zbl
[16] B. D. Craven: Vector-Valued Optimization. Generalized Concavity in Optimization and Economics. New York 1981, pp. 661 - 687. | Zbl
[17] B. Marios: Nonlinear Programming: Theory and Methods. Akad0miai Kiado, Budapest 1975.
[18] S. Schaible: Fractional programming. Z. Oper. Res. 27 (1983), 39-54. | MR | Zbl
[19] S. Schaible: A Survey of Fractional Programming. Generalized Concavity in Optimization and Economics. New York 1981, pp. 417-440. | Zbl
[20] S. Schaible: Duality in fractional programming: a unified approach. Oper. Res. 24 (1976), 3, 452-461. | MR | Zbl
[21] S. Schaible: Fractional programming I; duality. Manag. Sci. 22 (1976), 8, 858-867. | MR | Zbl
[22] S. Schaible: Analyse und Anwendungen von Quotientenprogrammen. Hein-Verlag, Meisenhein 1978. | MR | Zbl
[23] B. D. Craven: Duality for Generalized Convex Fractional Programs. Generalized Concavity in Optimization and Economics. New York 1984, pp. 473 - 489.
[24] U. Passy: Pseudoduality in mathematical programs with quotients and ratios. J. Optim. Theory Appl. 33 (1981), 325-348. | MR
[25] J. Flachs, M. Pollatschek: Equivalence between a generalized Fenchel duality theorem and a saddle-point theorem for fractional programs. J. Optim. Theory Appl. 37 (1981), I, 23-32. | MR