| Title:
|
Duality and optimality conditions in abstract concave maximization (English) |
| Author:
|
Chien, Tran Quoc |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
21 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
108-117 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49N15 |
| MSC:
|
90C25 |
| MSC:
|
90C31 |
| idZBL:
|
Zbl 0569.90086 |
| idMR:
|
MR797324 |
| . |
| Date available:
|
2009-09-24T17:46:02Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124800 |
| . |
| Reference:
|
[1] R. B. Holmes: Geometrical Functional Analysis and Its Applications.Springer-Verlag, Berlin 1975. MR 0410335 |
| Reference:
|
[2] V. V. Podinovskij, V. D. Nogin: Pareto-Optimization Solutions of Multicriterial Programs.(in Russian). Nauka, Moscow 1982. |
| Reference:
|
[3] G. P. Akilov, S. S. Kutatelaze: Ordered Vector Spaces.(in Russian). Nauka, Moscow 1978. |
| Reference:
|
[4] Tran Quoc Chien: Duality in vector optimization. Part I. Abstract duality scheme.Kybernetika 20 (1984), 4, 304-314. MR 0768510 |
| Reference:
|
[5] J. Bair: On the convex programming problem in an ordered vector space.Bull. Soc. Roy. Sci. Liège 46 (1977), 234-240. Zbl 0378.90079, MR 0493762 |
| Reference:
|
[6] G. R. Bitran: Duality for nonlinear multiple-criteria optimization problems.J. Optim. Theory Appl. 35 (1981), 3, 367-401. Zbl 0445.90082, MR 0642482 |
| Reference:
|
[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. Zbl 0431.49004, MR 0631951 |
| Reference:
|
[8] J. W. Nieuwenhuis: Supremai points and generalized duality.Math. Operationsforschung Statist. Ser. Optim. 11 (1980), 1, 41-59. MR 0608904 |
| Reference:
|
[9] A. Ya. Dubovskij, A. A. Milyutin: Constrained extremal problems.Ž. Vyčisl. Mat. i Mat. Fiz. 5 (1965), 3, 395-453. |
| Reference:
|
[10] V. F. Demjanov, L. V. Vasiljev: Nondifferential Optimization.(in Russian). Nauka, Moscow 1981. |
| Reference:
|
[11] T. Tanino, Y. Sawaragi: Duality theory in multiobjective programming.J. Optim. Theory Appl. 27 (1979), 4, 509-529. Zbl 0378.90100, MR 0533118 |
| Reference:
|
[12] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective optimization.J. Optim. Theory Appl,. 31 (1980), 4, 473-499. Zbl 0418.90080, MR 0600200 |
| Reference:
|
[13] J. Zowe: Fenchelsche Dualitätsaussagen in endlichdimensionalen halbgeordneten Vektor-räumen.Z. Angew. Math. Mech. 53 (1973), 230-232. MR 0346664 |
| Reference:
|
[14] C. Gros: Generalization of Fenchel's duality theorem for convex vector optimization.European J. Oper. Res. 2 (1979), 369-376. MR 0507584 |
| . |
