@article {Dempe:January 2008:0233-1934:777, author = "Dempe, S.", author = "Gadhi, N.", title = "Necessary optimality conditions of a D.C. set-valued bilevel optimization problem", journal = "Optimization", volume = "57", year = "January 2008", abstract = "In this article, we consider a bilevel vector optimization problem where objective and constraints are set valued maps. Our approach consists of using a support function [1-3,14,15,32] together with the convex separation principle for the study of necessary optimality conditions for D.C. bilevel set-valued optimization problems. We give optimality conditions in terms of the strong subdifferential of a cone-convex set-valued mapping introduced by Baier and Jahn 6 and the weak subdifferential of a cone-convex set-valued mapping of Sawaragi and Tanino 28. The bilevel set-valued problem is transformed into a one level set-valued optimization problem using a transformation originated by Ye and Zhu 34. An example illustrating the usefulness of our result is also given.", pages = "777-793(17)", url = "http://www.ingentaconnect.com/content/tandf/gopt/2008/00000057/00000006/art00002" doi = "doi:10.1080/02331930701761508" }