Abstract
In this paper two kinds of normality in vector optimization are compared. Both notions generalize a concept due to Van Slyke and Wets and similar work of Rockafellar.
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References
J.M. Borwein, “Proper efficient points for maximazations with respect to cones,”SIAM Journal on Control and Optimization 15 (1977) 57–63.
J.M. Borwein, “The geometry of Pareto efficiency,”Mathematische Operationsforschung und Statistik 11 (1980) 235–248.
M.I. Henig, “Proper efficiency with respect to connes,”Journal of Optimization Theory and Applications 36 (1982) 387–407.
J. Jahn, “Duality in vector optimization,”Mathematical Programming 25 (1983) 343–353.
J.W. Nieuwenhuis, “Supremal points and generalized duality,”Mathematische Operationsforschung und Statistik 11 (1980) 41–59.
J. Ponstein,Approaches to the theory of optimization (Cambrige University Press, Cambridge, 1980).
R.T. Rockafellar,Convex analysis (Princeton University Press, Princeton, New Jersey, 1970).
R.M. van Slyke and R.J.-B. Wets, “A duality theory for abstract mathematics programs with applications to optimal control theory,”Journal of Mathematical Analysis and Applications 11 (1968) 679–706.
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Research partially supported by an N.S.E.R.C. Operating Grant.
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Borwein, J.M., Nieuwenhuis, J.W. Two kinds of normality in vector optimization. Mathematical Programming 28, 185–191 (1984). https://doi.org/10.1007/BF02612358
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DOI: https://doi.org/10.1007/BF02612358