Kouada, I. On the duality in convex vector optimization. (Sur la dualité en optimisation vectorielle convexe.) (French) Zbl 0830.90123 RAIRO, Rech. Opér. 28, No. 3, 255-281 (1994). Summary: We consider a fairly general minimization problem in convex vector optimization. We define and study its dual and obtain as special cases, many existing results on the matter. Isermann’s main duality result in the linear case will be improved. For working tools, we generalize several results used in convex scalar optimization to the vector case. On the way, we show that a result on duality and alternative in multiobjective optimization needs not satisfy the hypothesis of the domination property to hold. Cited in 1 Document MSC: 90C29 Multi-objective and goal programming 90C25 Convex programming Keywords:cone; cone-lower semi-continuity; convex vector optimization; multiobjective optimization PDF BibTeX XML Cite \textit{I. Kouada}, RAIRO, Rech. Opér. 28, No. 3, 255--281 (1994; Zbl 0830.90123) Full Text: DOI EuDML