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Chien, Tran Quoc
Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming. (English). Kybernetika, vol. 20 (1984), issue 6, pp. 458-472
MSC: 49J45, 49N15, 52A20, 90C31, 90C32, 90C48 | MR 777980 | Zbl 0575.49007
Related articles:
Duality in vector optimization. II. Vector quasiconcave programming
Duality in vector optimization. I. Abstract duality scheme
References:
[1] Tran Quoc Chien: Duality in vector optimization. Part I. Abstract duality scheme. Kybernetika 20 (1984), 4, 304-314. MR 0768510
[2] Tran Quoc Chien: Duality in vector optimization. Part II. Vector quasiconcave programming. Kybernetika 20 (1984), 5, 386-404. MR 0776328
[3] S. Schaible: A Survey of Fractional Programming: Generalized Concavity in Optimization and Economics. Wiley, New York 1981.
[4] S. Schaible: Duality in fractional programming: a unified approach. Oper Res. 24 (1976) 3, 452-461. MR 0411644 | Zbl 0348.90120
[5] S. Schaible: Fractional programming I: duality. Management Sci. 22 (1976), 8, 858-867. MR 0421679 | Zbl 0338.90050
[6] S. Schaible: Analyse und Anwendungen von Quotientenprogrammen. Hein-Verlag, Meisenheim 1978. MR 0533590 | Zbl 0395.90045
[7] U. Passy: Pseudoduality in mathematical programs with quotients and ratios. J. Optim. Theory Appl. 33 (1981) 3, 349-374. MR 0619630
[8] B. Martos: Nonlinear Programming, Theory and Methods. Akadémiai Kiadó, Budapest 1975. MR 0496692 | Zbl 0357.90027
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