Efficient Solutions in Generalized Linear Vector Optimization (part 2)
Người báo cáo: Nguyễn Ngọc Luân

Thời gian: 9h, Thứ 4, ngày 15/6/2016
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.

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