Geometry of cones and an application in the theory of Pareto efficient points

Kountzakis, C; Polyrakis, IA

dc.contributor.author	Kountzakis, C	en
dc.contributor.author	Polyrakis, IA	en
dc.date.accessioned	2014-03-01T01:24:28Z
dc.date.available	2014-03-01T01:24:28Z
dc.date.issued	2006	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17271
dc.subject	Bases for cones	en
dc.subject	Denting points	en
dc.subject	Pareto efficient points	en
dc.subject	Points of continuity	en
dc.subject	Quasi-interior points	en
dc.subject	Schur property	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	CONICALLY BOUNDED SETS	en
dc.subject.other	OPTIMIZATION	en
dc.subject.other	DENSITY	en
dc.subject.other	DUALITY	en
dc.subject.other	SPACES	en
dc.title	Geometry of cones and an application in the theory of Pareto efficient points	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2005.06.093	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2005.06.093	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this article we give a new criterion for the existence of a bounded base for a cone P of a normed space X. Also, if P is closed, we give a partial answer to the problem: is 0 a point of continuity of P if and only if 0 is a denting point of P? The above problems have applications in the theory of Pareto efficient points. (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2005.06.093	en
dc.identifier.isi	ISI:000237787400021	en
dc.identifier.volume	320	en
dc.identifier.issue	1	en
dc.identifier.spage	340	en
dc.identifier.epage	351	en