Người báo cáo: Nguyễn Ngọc Luân
Thời gian: 9h, Thứ 4, ngày 25/11/2015
Địa điểm: Phòng số 4, nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội
Tóm tắt: It is well known that finite-dimensional polyhedral convex sets can be generated by finitely many points and finitely many directions. Representation formulas in this spirit are obtained for convex polyhedra and generalized convex polyhedra in locally convex Hausdorff topological vector spaces. Our results develop those of X.Y.Zheng (Set-Valued Anal., Vol. 17, 2009, 389--408), which were established in a Banach space setting. Applications of the representation formulas to proving solution existence theorems for infinite-dimensional linear programming problems and infinite-dimensional linear vector optimization problems are shown. |
