Title:
|
Mathematical programming problems involving continuum of inequality constraints (English) |
Author:
|
Doležal, Jaroslav |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
18 |
Issue:
|
1 |
Year:
|
1982 |
Pages:
|
31-36 |
. |
Category:
|
math |
. |
MSC:
|
49K35 |
MSC:
|
49M37 |
MSC:
|
52A20 |
MSC:
|
90C25 |
MSC:
|
90C30 |
MSC:
|
90C55 |
idZBL:
|
Zbl 0487.49019 |
idMR:
|
MR679779 |
. |
Date available:
|
2009-09-24T17:25:52Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125589 |
. |
Reference:
|
[1] V. G. Boltyanskii: Optimal Control of Discrete Systems.(in Russian). Nauka, Moscow 1973. English translation: Wiley, New York 1978. MR 0528636 |
Reference:
|
[2] K. R. Gehner: Necessary and sufficient conditions for the Fritz John problem with linear equality constraints.SIAM J. Control 72 (1974), 1, 140-149. MR 0355740 |
Reference:
|
[3] J. Doležal: On mathematical programming problems with infinitely many inequality constraints.Internat. J. Systems Sci. (submitted for publication). |
Reference:
|
[4] W. E. Schmitendorf: A simple derivation of necessary conditions for static minmax problems.J. Math. Ana!. Appl. 70 (1979), 2, 486-489. Zbl 0435.49029, MR 0543589 |
Reference:
|
[5] J. Doležal: On necessary conditions for static minmax problems with constraints.J. Math. Anal. Appl. 55 (1982), 2. MR 0652192 |
Reference:
|
[6] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming.McGraw-Hill, New York 1970. MR 0397497 |
Reference:
|
[7] V. G. Boltyanskii: The method of tents in the theory of extremal problems.(in Russian). Uspekhi Matematicheskikh Nauk XXX (1975), 3,3 - 55. English translation: Russian Math. Surveys 30 (1975), 3, 1-54. MR 0445371 |
Reference:
|
[8] B. M. Kwak E. J. Huag, Jr.: Optimum design in presence of parametric uncertainty.J. Optim. Theory Appl. 19 (1976), 4, 527-546. MR 0429141 |
Reference:
|
[9] V. G. Boltyanskii I. S. Čebotaru: Necessary conditions in a minmax problem.(in Russian). Doklady Akademii Nauk SSSR 213 (1973), 2, 257-260. English translation: Soviet Math. Dokl. 14 (1973), 6, 1665-1668. MR 0355745 |
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