Fenchel-Lagrange duality in vector fractional programming via abstract duality scheme

Tran Quoc Chien

Kybernetika (1986)

  • Volume: 22, Issue: 4, page 299-319
  • ISSN: 0023-5954

How to cite

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Chien, Tran Quoc. "Fenchel-Lagrange duality in vector fractional programming via abstract duality scheme." Kybernetika 22.4 (1986): 299-319. <http://eudml.org/doc/27529>.

@article{Chien1986,
author = {Chien, Tran Quoc},
journal = {Kybernetika},
keywords = {Fenchel and Lagrange duality; vector fractional programming},
language = {eng},
number = {4},
pages = {299-319},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fenchel-Lagrange duality in vector fractional programming via abstract duality scheme},
url = {http://eudml.org/doc/27529},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Chien, Tran Quoc
TI - Fenchel-Lagrange duality in vector fractional programming via abstract duality scheme
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 4
SP - 299
EP - 319
LA - eng
KW - Fenchel and Lagrange duality; vector fractional programming
UR - http://eudml.org/doc/27529
ER -

References

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  1. J. Bair, Structure asymptotique et propriétés de séparation en geometrie convexe, Research Report, Université de Liège, 1984. (1984) 
  2. A. Cambini, Martein, On the Fenchel-like and Lagrangian Duality in Fractional Programming, Research Report, University di Pisa, 1985. (1985) 
  3. Tran Quoc Chien, Duality in vector optimization, I: abstract duality scheme, Kybernetika 20 (1984), 4, 304-313. (1984) Zbl0556.49010MR0768510
  4. Tran Quoc Chien, Duality in vector optimization, II: vector quasiconcave programming, Kybernetika 20 (1984), 5, 386-404. (1984) Zbl0575.49006MR0776328
  5. Tran Quoc Chien, Duality in vector optimization, III: vector partially quasiconcave programming and vector fractional programming, Kybernetika 20 (1984), 6, 458-472. (1984) Zbl0575.49007MR0777980
  6. Tran Quoc Chien, Nondifferentiable and quasidifferentiable duality in vector optimization theory, Kybernetika 21 (1985), 4, 298-312. (1985) Zbl0579.90091MR0815617
  7. Tran Quoc Chien, Duality Theory in Vector Optimization, Ph. D. Thesis, Charles University, Prague 1985. (1985) 
  8. G. Grätzen, Lattice Theory, W. H. Freedman and Company, San Francisco 1971. (1971) 
  9. R. B. Holmes, Geometrical Functional Analysis and Its Applications, Springer-Verlag, New York 1975. (1975) MR0410335
  10. S. Schaible, Duality in fractional programming: a unified approach, Oper. Res. 24 (1976), 3, 452-461. (1976) Zbl0348.90120MR0411644
  11. S. Schaible, Fractional programming I: duality, Management Sci. 22 (1976), 8, 859-867. (1976) Zbl0338.90050MR0421679

Citations in EuDML Documents

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  1. Tran Quoc Chien, Perturbation theory of duality in vector optimization via the abstract duality scheme
  2. Tran Quoc Chien, Perturbation theory of duality in vector nonconvex optimization via the abstract duality scheme
  3. Tran Quoc Chien, Semistochastic decomposition scheme in mathematical programming and game theory
  4. Tran Quoc Chien, Unification of the abstract duality scheme
  5. Tran Quoc Chien, Support separation theorems and their applications to vector surrogate reverse duality

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