Title:
|
A note on necessary conditions in mathematical programming (English) |
Author:
|
Doležal, Jaroslav |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
17 |
Issue:
|
6 |
Year:
|
1981 |
Pages:
|
555-560 |
. |
Category:
|
math |
. |
MSC:
|
49B21 |
MSC:
|
49K99 |
MSC:
|
49M37 |
MSC:
|
90C30 |
idZBL:
|
Zbl 0477.49016 |
idMR:
|
MR674067 |
. |
Date available:
|
2009-09-24T17:25:05Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125636 |
. |
Reference:
|
[1] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming.McGraw-Hill, New York 1970. MR 0397497 |
Reference:
|
[2] L. W. Neustadt: An abstract variational theory with applications to a broad class of optimization problems, I., General theory.SIAM J. Control 4 (1966), 3, 505 - 527. Zbl 0166.09401, MR 0216349 |
Reference:
|
[3] V. G. Boltjanskij: Optimal Control of Discrete Systems.Nauka, Moscow 1973. In Russian. MR 0350575 |
Reference:
|
[4] V. G. Boltjanskij: The method of tents in the theory of extremal problems.Uspechi matematičeskich nauk 30 (1975), 3, 3-55. In Russian. MR 0445371 |
Reference:
|
[5] M. Canon C. Cullum E. Polak: Constrained minimization problems in finite dimensional spaces.SIAM J. Control 4 (1966), 3, 528-547. MR 0207423 |
Reference:
|
[6] A. J. Dubovickij A. A. Miljutin: Extremum problems involving constraints.Žurnal vyč. matematiki i mat. fiziki 5 (1965), 3, 395 - 453. In Russian. MR 0191691 |
Reference:
|
[7] V. G. Boltjanskij I. S. Čebotaru: Necessary conditions in a minimax problem.Dokl. Akad. Nauk SSSR 213 (1973), 2, 257-260. In Russian. MR 0355745 |
Reference:
|
[8] F. H. Clarke: A new approach to Lagrange multipliers.Mathem. Oper. Res. 1 (1976), 2, 165-174. Zbl 0404.90100, MR 0414104 |
Reference:
|
[9] J. B. Hiriart-Urruty: Refinements of necessary optimality conditions in non-differentiable programming I.Appl. Math. Optim. 5 (1979), 1, 63-82. MR 0526428 |
. |