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Article

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
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Category: math
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MSC: 49K35
MSC: 49M37
MSC: 52A20
MSC: 90C25
MSC: 90C30
MSC: 90C55
idZBL: Zbl 0487.49019
idMR: MR679779
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Date available: 2009-09-24T17:25:52Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125589
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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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