| Title:
|
On some sufficient optimality conditions in multiobjective differentiable programming (English) |
| Author:
|
Preda, Vasile |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
263-270 |
| . |
| Category:
|
math |
| . |
| MSC:
|
90C29 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0784.90070 |
| idMR:
|
MR1183618 |
| . |
| Date available:
|
2009-09-24T18:32:40Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124812 |
| . |
| Reference:
|
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| Reference:
|
[2] M. A. Hanson: On sufficiency on the Kuhn-Tucker conditions.J. Math. Annal. Appl. 80 (1981), 545 - 550. MR 0614849 |
| Reference:
|
[3] M.A. Hanson, B. Mond: Further generalizations of convexity in mathematical programming.J. Inform. Optim. Sci. 3 (1982), 25-32. Zbl 0475.90069, MR 0713163 |
| Reference:
|
[4] I. Jahn: Scalarization in vector optimization.Math. Programming 29 (1984), 203-218. Zbl 0539.90093, MR 0745408 |
| Reference:
|
[5] J.G. Lin: Maximal vector and multiobjective optimization.J. Optim. Theory Appl. 18 (1976), 41-64. MR 0418945 |
| Reference:
|
[6] D.T. Luc: Scalarization of vector optimization problems.J. Optim. Theory Appl. 55 (1987), 85- 102. Zbl 0622.90083, MR 0915679 |
| Reference:
|
[7] I. Marusciac: On Fritz John type optimality criterion in multiobjective optimization.Anal. Numer. Theor. Approx. 11 (1982), 109-114. MR 0692476 |
| Reference:
|
[8] B. Mond: Generalized convexity in mathematical programming.Bull. Austral. Math. Soc. 27 (1983), 185-202. Zbl 0502.90066, MR 0707968 |
| Reference:
|
[9] A. Pascoletti, P. Serafini: Scalarizing vector optimization problems.J. Optim. Theory Appl. 42 (1984), 499-524. Zbl 0505.90072, MR 0739432 |
| Reference:
|
[10] C. Singh: Duality theory in multiobjective differentiable programming.J. Inform. Optim. Sci. 9 (1988), 231-240. MR 1000585 |
| Reference:
|
[11] C. Singh: Optimality conditions in multiobjective differentiable programming.J. Optim. Theory Appl. 53 (1987), 115-123. Zbl 0593.90071, MR 0889214 |
| Reference:
|
[12] C. Singh, M.A. Hanson: Saddlepoint theory for nondifferentiable multiobjective fractional programming.J. Optim. Theory Appl. 51 (1986), 41-48. Zbl 0593.90077, MR 0836228 |
| Reference:
|
[13] W. Standler: A survey of multicriteria optimization or the vector maximum problem.Part I: 1776-1960. J. Optim. Theory Appl. 29 (1979), 1-52. MR 0545552 |
| Reference:
|
[14] A. Takayama: Mathematical Economics.The Dryden Press, Hinsdale, Illinois 1974. Zbl 0313.90008, MR 0832684 |
| Reference:
|
[15] A.W. Tucker: Dual systems of homogeneous linear relations.In: Linear Inequalities and Related Systems (H.W. Kuhn, A.W. Tucker, eds.). Princeton University Press, Princeton, New Jersey 1956. Zbl 0072.37503, MR 0089112 |
| . |
