Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/71559
Title: Separation of convex sets via barrier cones
Authors: Huynh, The Phung
Keywords: Convex set
Separation theorem
Barrier cone
Recession cone
Set having the strong separation property
Issue Date: 2020
Series/Report no.: Acta Mathematica Vietnamica;Vol. 45, No. 02 .- P.345-363
Abstract: A closed convex subset of a normed linear space is said to have the strong separation property if it can be strongly separated from every other disjoint, closed, and convex set by a closed hyperplane. In this paper, we give some results on the separation of convex sets noticing the role of barrier cones, develop some characterizations of subsets having the strong separation property, and apply them to consider a class of convex optimization problems.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/71559
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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