Motzkin predecomposable sets

A. Iusem, Juan Enrique Martinez-Legaz and M. Todorov

Journal of Global Optimization, 2014, vol. 60, issue 4, 635-647

Abstract: We introduce and study the family of sets in a finite dimensional Euclidean space which can be written as the Minkowski sum of a compact and convex set and a convex cone (not necessarily closed). We establish several properties of the class of such sets, called Motzkin predecomposable, some of which hold also for the class of Motzkin decomposable sets (i.e., those for which the convex cone in the decomposition is requested to be closed), while others are specific of the new family. Copyright Springer Science+Business Media New York 2014

Keywords: Motzkin decomposable sets; Convex sets; Convex cones; 52A07; 54F65 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10898-013-0097-3

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