This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
M. Avriel,Nonlinear programming, Prentice Hall, (New Jersey, 1976).
R. T. Rockafellar,Convex analysis, Princeton University Press (1970).
J. M. Borwein, The geometry of Pareto efficiency over cones,Math. Oper. Statist., Ser. Optimization,11 (1980), 235–248.
R. Lehmann, W. Oettli, The theorem of the alternative, the key theorem and the vector maximization problem,Math. Programming,8 (1975), 332–344.
S. Smale, Global analysis and economics V,J. Math. Econ.,1 (1974), 213–221.
D. T. Luc, On duality in multiobjective programming,J. Optimization Theory Appl.,43 (1984), 557–582.
D. T. Luc,Contributions to the duality theory in mathematical programming, Ph. D. Thesis (Budapest, 1983).
About this article
Cite this article
Luc, D.T. Theorems of the alternative and their applications in multiobjective optimization. Acta Math Hung 45, 311–320 (1985). https://doi.org/10.1007/BF01957027