Mathematical programming problems involving continuum of inequality constraints

Jaroslav Doležal

Kybernetika (1982)

  • Volume: 18, Issue: 1, page 31-36
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Mathematical programming problems involving continuum of inequality constraints." Kybernetika 18.1 (1982): 31-36. <http://eudml.org/doc/28743>.

@article{Doležal1982,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
keywords = {continuum of inequality type constraints; conical approximations; static minimax problems},
language = {eng},
number = {1},
pages = {31-36},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Mathematical programming problems involving continuum of inequality constraints},
url = {http://eudml.org/doc/28743},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Mathematical programming problems involving continuum of inequality constraints
JO - Kybernetika
PY - 1982
PB - Institute of Information Theory and Automation AS CR
VL - 18
IS - 1
SP - 31
EP - 36
LA - eng
KW - continuum of inequality type constraints; conical approximations; static minimax problems
UR - http://eudml.org/doc/28743
ER -

References

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  1. V. G. Boltyanskii, Optimal Control of Discrete Systems, (in Russian). Nauka, Moscow 1973. English translation: Wiley, New York 1978. (1973) MR0528636
  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. (1974) MR0355740
  3. J. Doležal, On mathematical programming problems with infinitely many inequality constraints, Internat. J. Systems Sci. (submitted for publication). 
  4. W. E. Schmitendorf, A simple derivation of necessary conditions for static minmax problems, J. Math. Ana!. Appl. 70 (1979), 2, 486-489. (1979) Zbl0435.49029MR0543589
  5. J. Doležal, On necessary conditions for static minmax problems with constraints, J. Math. Anal. Appl. 55 (1982), 2. (1982) MR0652192
  6. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  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. (1975) MR0445371
  8. B. M. Kwak E. J. Huag, Jr., Optimum design in presence of parametric uncertainty, J. Optim. Theory Appl. 19 (1976), 4, 527-546. (1976) MR0429141
  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. (1973) MR0355745

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