A note on necessary conditions in mathematical programming

Jaroslav Doležal

Kybernetika (1981)

  • Volume: 17, Issue: 6, page 555-560
  • ISSN: 0023-5954

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Doležal, Jaroslav. "A note on necessary conditions in mathematical programming." Kybernetika 17.6 (1981): 555-560. <http://eudml.org/doc/28790>.

@article{Doležal1981,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
keywords = {conical approximation; necessary optimality conditions; mathematical programming problems},
language = {eng},
number = {6},
pages = {555-560},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A note on necessary conditions in mathematical programming},
url = {http://eudml.org/doc/28790},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - A note on necessary conditions in mathematical programming
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 6
SP - 555
EP - 560
LA - eng
KW - conical approximation; necessary optimality conditions; mathematical programming problems
UR - http://eudml.org/doc/28790
ER -

References

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  1. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  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. (1966) Zbl0166.09401MR0216349
  3. V. G. Boltjanskij, Optimal Control of Discrete Systems, Nauka, Moscow 1973. In Russian. (1973) MR0350575
  4. V. G. Boltjanskij, The method of tents in the theory of extremal problems, Uspechi matematičeskich nauk 30 (1975), 3, 3-55. In Russian. (1975) MR0445371
  5. M. Canon C. Cullum E. Polak, Constrained minimization problems in finite dimensional spaces, SIAM J. Control 4 (1966), 3, 528-547. (1966) MR0207423
  6. A. J. Dubovickij A. A. Miljutin, Extremum problems involving constraints, Žurnal vyč. matematiki i mat. fiziki 5 (1965), 3, 395 - 453. In Russian. (1965) MR0191691
  7. V. G. Boltjanskij I. S. Čebotaru, Necessary conditions in a minimax problem, Dokl. Akad. Nauk SSSR 213 (1973), 2, 257-260. In Russian. (1973) MR0355745
  8. F. H. Clarke, A new approach to Lagrange multipliers, Mathem. Oper. Res. 1 (1976), 2, 165-174. (1976) Zbl0404.90100MR0414104
  9. J. B. Hiriart-Urruty, Refinements of necessary optimality conditions in non-differentiable programming I, Appl. Math. Optim. 5 (1979), 1, 63-82. (1979) MR0526428

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