| Title:
|
Duality in vector optimization. I. Abstract duality scheme (English) |
| Author:
|
Chien, Tran Quoc |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
304-313 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A40 |
| MSC:
|
49J27 |
| MSC:
|
49N15 |
| MSC:
|
90C30 |
| MSC:
|
90C48 |
| idZBL:
|
Zbl 0556.49010 |
| idMR:
|
MR768510 |
| . |
| Date available:
|
2009-09-24T17:41:45Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124827 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124486 |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124604 |
| . |
| Reference:
|
[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 0293989 |
| Reference:
|
[2] V. V. Podinovskij, V. D. Nogin: Pareto Optimal Solutions in Multiobjective Problems.Nauka, Moscow 1982. In Russian. |
| Reference:
|
[3] T. Tanino: Saddle points and duality in multi-objective programming.Internat. J. Systems Sci. 13 (1982), 3, 323-335. Zbl 0487.49021, MR 0703062 |
| Reference:
|
[4] J. W. Niewehuis: Supremal points and generalized duality.Math. Operationsforsch. Statist. Ser. Optim. 11 (1980), 1, 41-59. MR 0608904 |
| Reference:
|
[5] T. Tanino, Y. Sawaragi: Duality theory in multiobjective programming.J. Optim. Theory Appl. 27 (1979), 4, 509-529. Zbl 0378.90100, MR 0533118 |
| Reference:
|
[6] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective programming.J. Optim. Theory Appl. 31 (1980), 4, 473-499. MR 0600200 |
| Reference:
|
[7] S. Brumelle: Duality for multiobjective programming convex programning.Math. Oper. Res. 6 (1981), 2, 159-172. MR 0616342 |
| Reference:
|
[8] D. Wolfe: A duality theorem for nonlinear programming.Quart. Appl. Math. 19 (1981), 239-244. |
| Reference:
|
[9] M. Schechter: A subgradient duality theorem.J. Math. Anal. Appl. 61 (1977), 850-855. Zbl 0369.90104, MR 0472060 |
| Reference:
|
[10] R. T. Rockafellar: Augmented Lagrange multiplier functions and duality in nonconvex programming.SIAM J. Control 12 (1974), 2, 268-285. Zbl 0257.90046, MR 0384163 |
| Reference:
|
[11] S. Schaible: Fractional programming I, duality.Management Sci. 23 (1976), 8, 858-867. Zbl 0338.90050, MR 0421679 |
| Reference:
|
[12] S. Schaible: Duality in fractional programming: a unified approach.Oper. Res. 24 (1976), 452-461. Zbl 0348.90120, MR 0411644 |
| . |
