| Title:
|
Nondifferentiable and quasidifferentiable duality in vector optimization theory (English) |
| Author:
|
Chien, Tran Quoc |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
298-312 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49N15 |
| MSC:
|
90C31 |
| MSC:
|
90C32 |
| idZBL:
|
Zbl 0579.90091 |
| idMR:
|
MR815617 |
| . |
| Date available:
|
2009-09-24T17:48:35Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125448 |
| . |
| Reference:
|
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| Reference:
|
[2] T. Tanino: Saddle points and duality in multi-objective programming.Internal. J. System Sci. 13 (1982), 3, 323-335. Zbl 0487.49021, MR 0703062 |
| Reference:
|
[3] J. W. Nieuwenhuis: Supremal points and generalized duality.Math. Operationsforsch. Statist. Ser. Optim. 11 (1980), 1, 41-59. Zbl 0514.90073, MR 0608904 |
| Reference:
|
[4] T. Tanino, Y Sawaragi: Duality theory in multiobjective programming.J. Optim. Theory Appl. 27 (1979), 4, 509-529. Zbl 0378.90100, MR 0533118 |
| Reference:
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[5] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective programming.J. Optim. Theory Appl. 31 (1980), 4, 473-499. MR 0600200 |
| Reference:
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[6] S. Brumelle: Duality for multiobjective convex programming.Math. Opуr. Res. 6 (1981), 2, 159-172. MR 0616342 |
| Reference:
|
[7] Tran Quoc Chien: Duality and optimally conditions in abstract concave maximization.Kybernetika 21 (1985), 2, 108-117. MR 0797324 |
| Reference:
|
[8] Tran Quoc Chien: Duality in vector optimization. Part I: Abstract duality scheme.Kybernetika 20 (1984), 4, 304-313. MR 0768510 |
| Reference:
|
[9] Tran Quoc Chien: Duality in vector optimization. Part 2: Vector quasiconcave programming.Kybernetika 20 (1984), 5, 386-404. MR 0776328 |
| Reference:
|
[10] Tran Quoc Chien: Duality in vector optimization. Part 3: Partially quasiconcave programming and vector fractional programming.Kybernetika 20 (1984), 6, 458-472. MR 0777980 |
| Reference:
|
[11] I. Ekeland, R. Teman: Convex Analysis and Variational Problems.North-Holland, American Elsevier, Amsterdam, New York 1976. MR 0463994 |
| Reference:
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[12] R. Holmes: Geometrical Functional Analysis and its Applications.Springor-Verlag, Berlin 1975. |
| Reference:
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[13] E. G. Golstein: Duality Theory in Mathematical Programming and its Applications.Nauka. Moscow 1971 (in Russian). MR 0322531 |
| Reference:
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[14] C. Zalinescu: A generalization of the Farkas lemma and applications to convex programming.J. Math. Anal. Applic. 66 (1978), 3, 651-678. Zbl 0396.90070, MR 0517753 |
| Reference:
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[15] B. M. Glover: A generalized Farkas lemma with applications to quasidifferentiable programming.Oper. Res. 26 (1982), 7, 125-141. Zbl 0494.90088, MR 0686601 |
| Reference:
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[16] B. D. Craven: Vector-Valued Optimization.Generalized Concavity in Optimization and Economics. New York 1981, pp. 661 - 687. Zbl 0534.90080 |
| Reference:
|
[17] B. Marios: Nonlinear Programming: Theory and Methods.Akad0miai Kiado, Budapest 1975. |
| Reference:
|
[18] S. Schaible: Fractional programming.Z. Oper. Res. 27 (1983), 39-54. Zbl 0529.90088, MR 0706418 |
| Reference:
|
[19] S. Schaible: A Survey of Fractional Programming.Generalized Concavity in Optimization and Economics. New York 1981, pp. 417-440. Zbl 0535.90092 |
| Reference:
|
[20] S. Schaible: Duality in fractional programming: a unified approach.Oper. Res. 24 (1976), 3, 452-461. Zbl 0348.90120, MR 0411644 |
| Reference:
|
[21] S. Schaible: Fractional programming I; duality.Manag. Sci. 22 (1976), 8, 858-867. Zbl 0338.90050, MR 0421679 |
| Reference:
|
[22] S. Schaible: Analyse und Anwendungen von Quotientenprogrammen.Hein-Verlag, Meisenhein 1978. Zbl 0395.90045, MR 0533590 |
| Reference:
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[23] B. D. Craven: Duality for Generalized Convex Fractional Programs.Generalized Concavity in Optimization and Economics. New York 1984, pp. 473 - 489. |
| Reference:
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[24] U. Passy: Pseudoduality in mathematical programs with quotients and ratios.J. Optim. Theory Appl. 33 (1981), 325-348. MR 0619629 |
| Reference:
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[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 0663511 |
| . |
