Perturbation theory of duality in vector optimization via the abstract duality scheme

Tran Quoc Chien

Kybernetika (1987)

  • Volume: 23, Issue: 1, page 67-81
  • ISSN: 0023-5954

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Chien, Tran Quoc. "Perturbation theory of duality in vector optimization via the abstract duality scheme." Kybernetika 23.1 (1987): 67-81. <http://eudml.org/doc/27925>.

@article{Chien1987,
author = {Chien, Tran Quoc},
journal = {Kybernetika},
keywords = {perturbation duality; vector optimization; generalization of conjugate functions; Fenchel duality},
language = {eng},
number = {1},
pages = {67-81},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Perturbation theory of duality in vector optimization via the abstract duality scheme},
url = {http://eudml.org/doc/27925},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Chien, Tran Quoc
TI - Perturbation theory of duality in vector optimization via the abstract duality scheme
JO - Kybernetika
PY - 1987
PB - Institute of Information Theory and Automation AS CR
VL - 23
IS - 1
SP - 67
EP - 81
LA - eng
KW - perturbation duality; vector optimization; generalization of conjugate functions; Fenchel duality
UR - http://eudml.org/doc/27925
ER -

References

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  1. A. Auslender, Optimization, méthodes numerique, Masson, Paris 1976. (1976) MR0441204
  2. I. Ekeland, R. Temam, Analyse convex et problemes variationnels, Dunod, Paris 1974. (1974) MR0463993
  3. J. V. Outrata, J. Jarušek, Duality theory in mathematical programing and optimal control, Supplement to Journal Kybernetika volume 20 (1984) and 21 (1985), 120 pages. (1984) MR0795002
  4. A. Ya. Azimov, Theorems of duality for multiobjective problems, Dokl. Akad. Nauk SSSR 280 (1985), 1, 11-15. In Russian. (1985) MR0774690
  5. Tran Quoc Chien, Duality in vector optimization, I: abstract duality scheme, Kybernetika 20 (1984), 4, 304-313. (1984) Zbl0556.49010MR0768510
  6. Tran Quoc Chien, Duality and optimality conditions in abstract concave maximization, Kybernetika 21 (1985), 2, 108-117. (1985) Zbl0569.90086MR0797324
  7. Tran Quoc Chien, Duality Theory in Vector Optimization, Ph.D. Thesis, Charles University, Prague 1985. (1985) 
  8. Tran Quoc Chien, Fenchel-Lagrange duality in vector fractional programming via the abstract duality scheme, Kybernetika 22 (1986), 4, 299-319. (1986) MR0868023

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