A generalized solution of a nonconvex minimization problem and its stability

Tomáš Roubíček

Kybernetika (1986)

  • Volume: 22, Issue: 4, page 289-298
  • ISSN: 0023-5954

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Roubíček, Tomáš. "A generalized solution of a nonconvex minimization problem and its stability." Kybernetika 22.4 (1986): 289-298. <http://eudml.org/doc/27525>.

@article{Roubíček1986,
author = {Roubíček, Tomáš},
journal = {Kybernetika},
keywords = {minimization problem on an infinite-dimensional space; generalized solution; stability; minimizing filter},
language = {eng},
number = {4},
pages = {289-298},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A generalized solution of a nonconvex minimization problem and its stability},
url = {http://eudml.org/doc/27525},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - A generalized solution of a nonconvex minimization problem and its stability
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 4
SP - 289
EP - 298
LA - eng
KW - minimization problem on an infinite-dimensional space; generalized solution; stability; minimizing filter
UR - http://eudml.org/doc/27525
ER -

References

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  1. W. Alt, Lipschitzian perturbation of infinite optimization problems, In: Mathematical Programming with Data Perturbations II (A. V. Fiacco, ed.), Marcel Dekker, Inc., New York-Basel 1983, pp. 7-22. (1983) MR0702354
  2. N. Bourbaki, General Topology, Hermann, Paris 1966. (1966) Zbl0301.54002
  3. Á. Császár, General Topology, Akadémiai Kiadó, Budapest 1978. (1978) 
  4. I. Ekeland, R. Teman, Convex Analysis and Variational Problems, North-Holland, Amsterdam 1976. (1976) 
  5. L. Gillman, M. Jerison, Rings of Continuous Functions, Second edition. Springer-Verlag, Berlin-Heidelberg-New York 1976. (1976) Zbl0327.46040MR0407579
  6. E. G. Golshtein, Theory of Convex Programming, AMS, Transl. of Math. Monographs, Vol. 36, Providence, R. I. 1972. (1972) MR0359802
  7. A. D. Ioffe, V. M. Tihomirov, Extension of variational problems, Trudy Moskov. Mat. Obšč. (Trans. Moscow Math. Soc.) 18 (1968), 207-273. (1968) MR0254702
  8. E. Polak, Y. Y. Wardi, A study of minimizing sequences, SIAM J. Control Optim. 22 (1984), 599-609. (1984) Zbl0553.49017MR0747971
  9. T. Zolezzi, On stability analysis in mathematical programming, Math. Programming Study 21 (1984), 227-242. (1984) MR0751252

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