Motzkin predecomposable sets
Iusem, N. (Instituto de Matemática Pura e Aplicada (Rio de Janeiro, Brasil))
Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
Todorov, Maxim Ivanov (Universidad de las Américas. Departmento de Actuaría y Matemáticas)

Date:	2014
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.
Grants:	Ministerio de Ciencia e Innovación MTM2011-29064-C03-01
Note:	Altres ajuts: CNP/301280/86
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Motzkin decomposable sets ; Convex sets ; Convex cones
Published in:	Journal of Global Optimization, Vol. 60, Núm. 4 (2014) , pp. 635-647, ISSN 1573-2916

DOI: 10.1007/s10898-013-0097-3

Postprint 15 p, 319.5 KB

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