Duality and optimality conditions in abstract concave maximization

Tran Quoc Chien

Kybernetika (1985)

  • Volume: 21, Issue: 2, page 108-117
  • ISSN: 0023-5954

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Chien, Tran Quoc. "Duality and optimality conditions in abstract concave maximization." Kybernetika 21.2 (1985): 108-117. <http://eudml.org/doc/27955>.

@article{Chien1985,
author = {Chien, Tran Quoc},
journal = {Kybernetika},
keywords = {duality theory; concave maximization of vector-valued functions; vector Lagrangian function; separation theorems},
language = {eng},
number = {2},
pages = {108-117},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Duality and optimality conditions in abstract concave maximization},
url = {http://eudml.org/doc/27955},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Chien, Tran Quoc
TI - Duality and optimality conditions in abstract concave maximization
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 2
SP - 108
EP - 117
LA - eng
KW - duality theory; concave maximization of vector-valued functions; vector Lagrangian function; separation theorems
UR - http://eudml.org/doc/27955
ER -

References

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  4. Tran Quoc Chien, Duality in vector optimization. Part I. Abstract duality scheme, Kybernetika 20 (1984), 4, 304-314. (1984) MR0768510
  5. J. Bair, On the convex programming problem in an ordered vector space, Bull. Soc. Roy. Sci. Liège 46 (1977), 234-240. (1977) Zbl0378.90079MR0493762
  6. G. R. Bitran, Duality for nonlinear multiple-criteria optimization problems, J. Optim. Theory Appl. 35 (1981), 3, 367-401. (1981) Zbl0445.90082MR0642482
  7. M. Minami, Weak Pareto optimality of multiobjective problems in a locally convex linear topological space, J. Optim. Theory Appl. 34 (1981), 4, 469-484. (1981) Zbl0431.49004MR0631951
  8. J. W. Nieuwenhuis, Supremai points and generalized duality, Math. Operationsforschung Statist. Ser. Optim. 11 (1980), 1, 41-59. (1980) MR0608904
  9. A. Ya. Dubovskij, A. A. Milyutin, Constrained extremal problems, Ž. Vyčisl. Mat. i Mat. Fiz. 5 (1965), 3, 395-453. (1965) 
  10. V. F. Demjanov, L. V. Vasiljev, Nondifferential Optimization, (in Russian). Nauka, Moscow 1981. (1981) 
  11. T. Tanino, Y. Sawaragi, Duality theory in multiobjective programming, J. Optim. Theory Appl. 27 (1979), 4, 509-529. (1979) Zbl0378.90100MR0533118
  12. T. Tanino, Y. Sawaragi, Conjugate maps and duality in multiobjective optimization, J. Optim. Theory Appl,. 31 (1980), 4, 473-499. (1980) Zbl0418.90080MR0600200
  13. J. Zowe, Fenchelsche Dualitätsaussagen in endlichdimensionalen halbgeordneten Vektor-räumen, Z. Angew. Math. Mech. 53 (1973), 230-232. (1973) MR0346664
  14. C. Gros, Generalization of Fenchel's duality theorem for convex vector optimization, European J. Oper. Res. 2 (1979), 369-376. (1979) MR0507584

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