Người báo cáo: Nguyễn Ngọc Luân
Thời gian: 9h, Thứ 4, ngày 8/6/2016 Địa điểm: Phòng số 4, nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội Tóm tắt: This paper establishes several new facts on generalized convex polyhedral sets and shows how they can be used in vector optimization. Among other things, a scalarization formula for the efficient solution sets of generalized vector optimization problems is obtained. We also prove that the efficient solution set of a generalized linear vector optimization problem in a locally convex Hausdorff topological vector space is the union of finitely many generalized polyhedral convex sets and it is arcwise connected. |