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Article

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
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Category: math
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MSC: 49B21
MSC: 49K99
MSC: 49M37
MSC: 90C30
idZBL: Zbl 0477.49016
idMR: MR674067
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Date available: 2009-09-24T17:25:05Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125636
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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
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