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References:
[1] G. S. Rubinstein: Duality in mathematical programming and some question of convex analysis. Uspehi Mat. Nauk 25 {155) (1970), 5, 171- 201. In Russian. MR 0293989
[2] V. V. Podinovskij, V. D. Nogin: Pareto Optimal Solutions in Multiobjective Problems. Nauka, Moscow 1982. In Russian.
[3] T. Tanino: Saddle points and duality in multi-objective programming. Internat. J. Systems Sci. 13 (1982), 3, 323-335. MR 0703062 | Zbl 0487.49021
[4] J. W. Niewehuis: Supremal points and generalized duality. Math. Operationsforsch. Statist. Ser. Optim. 11 (1980), 1, 41-59. MR 0608904
[5] T. Tanino, Y. Sawaragi: Duality theory in multiobjective programming. J. Optim. Theory Appl. 27 (1979), 4, 509-529. MR 0533118 | Zbl 0378.90100
[6] T. Tanino, Y. Sawaragi: Conjugate maps and duality in multiobjective programming. J. Optim. Theory Appl. 31 (1980), 4, 473-499. MR 0600200
[7] S. Brumelle: Duality for multiobjective programming convex programning. Math. Oper. Res. 6 (1981), 2, 159-172. MR 0616342
[8] D. Wolfe: A duality theorem for nonlinear programming. Quart. Appl. Math. 19 (1981), 239-244.
[9] M. Schechter: A subgradient duality theorem. J. Math. Anal. Appl. 61 (1977), 850-855. MR 0472060 | Zbl 0369.90104
[10] R. T. Rockafellar: Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM J. Control 12 (1974), 2, 268-285. MR 0384163 | Zbl 0257.90046
[11] S. Schaible: Fractional programming I, duality. Management Sci. 23 (1976), 8, 858-867. MR 0421679 | Zbl 0338.90050
[12] S. Schaible: Duality in fractional programming: a unified approach. Oper. Res. 24 (1976), 452-461. MR 0411644 | Zbl 0348.90120
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