Kouada, A. Issoufou On the domination property and the existence of Pareto-efficient points in convex vector optimization. (Sur la propriété de domination et l’existence de points Pareto-efficaces en optimisation vectorielle convexe.) (French) Zbl 0857.90114 RAIRO, Rech. Opér. 28, No. 1, 77-84 (1994). Summary: Concepts such as convexity, semicontinuity and recession cones are extended in a natural way to vector-valued functions in the preliminaries. The results so obtained are used to study the domination property in the constrained convex vector-valued optimization problem. We so obtain, with the first orthant as a domination cone, generalizations of known results on the matter. As by-products, we give conditions for the existence of Pareto-efficient points. MSC: 90C29 Multi-objective and goal programming Keywords:convexity; recession cones; vector-valued functions; domination property; Pareto-efficient points PDF BibTeX XML Cite \textit{A. I. Kouada}, RAIRO, Rech. Opér. 28, No. 1, 77--84 (1994; Zbl 0857.90114) Full Text: DOI EuDML OpenURL