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On duality theory in multiobjective programming. (English) Zbl 0517.90076

MSC:
90C31 Sensitivity, stability, parametric optimization
90C30 Nonlinear programming
49M37 Numerical methods based on nonlinear programming
49N15 Duality theory (optimization)
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References:
[1] Tanino, T., andSawaragi, Y.,Duality Theory in Multiobjective Programming, Journal of Optimization Theory and Applications, Vol. 27, pp. 509-529, 1979. · Zbl 0378.90100
[2] Tanino, T., andSawaragi, Y.,Conjugate Maps and Duality in Multiobjective Optimization, Journal of Optimization Theory and Applications, Vol. 31, pp. 473-479, 1980. · Zbl 0418.90080
[3] Bitran, G. R.,Duality for Nonlinear Multiple-Criteria Optimization Problems, Journal of Optimization Theory and Applications, Vol. 35, pp. 367-401, 1981. · Zbl 0445.90082
[4] Corley, H. W.,Duality Theory for Maximizations with Respect to Cones, Journal of Mathematical Analysis and Applications, Vol. 84, pp. 560-568, 1981. · Zbl 0474.90081
[5] Rockafellar, T. R.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0193.18401
[6] Luenberger, D. G.,Optimization by Vector Space Methods, Wiley, New York, New York, 1969. · Zbl 0176.12701
[7] Luc, D. T.,M-Optimality and Dynamic Programming (to appear).
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