A new kind of inner superefficient points

In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced. Under the assumption of near cone-subconvexlikeness, by applying the separation theorem for convex sets, the rela...

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Detalles Bibliográficos
Autores principales: Xu, Yihong, Wang, Lei, Shao, Chunhui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5539266/
https://www.ncbi.nlm.nih.gov/pubmed/28824263
http://dx.doi.org/10.1186/s13660-017-1452-6
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author Xu, Yihong
Wang, Lei
Shao, Chunhui
author_facet Xu, Yihong
Wang, Lei
Shao, Chunhui
author_sort Xu, Yihong
collection PubMed
description In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced. Under the assumption of near cone-subconvexlikeness, by applying the separation theorem for convex sets, the relationship between inner superefficient points and superefficient points is established. Compared to other approximate points in the literature, inner superefficient points in this paper are really ‘approximate’.
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spelling pubmed-55392662017-08-17 A new kind of inner superefficient points Xu, Yihong Wang, Lei Shao, Chunhui J Inequal Appl Research In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced. Under the assumption of near cone-subconvexlikeness, by applying the separation theorem for convex sets, the relationship between inner superefficient points and superefficient points is established. Compared to other approximate points in the literature, inner superefficient points in this paper are really ‘approximate’. Springer International Publishing 2017-08-01 2017 /pmc/articles/PMC5539266/ /pubmed/28824263 http://dx.doi.org/10.1186/s13660-017-1452-6 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xu, Yihong
Wang, Lei
Shao, Chunhui
A new kind of inner superefficient points
title A new kind of inner superefficient points
title_full A new kind of inner superefficient points
title_fullStr A new kind of inner superefficient points
title_full_unstemmed A new kind of inner superefficient points
title_short A new kind of inner superefficient points
title_sort new kind of inner superefficient points
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5539266/
https://www.ncbi.nlm.nih.gov/pubmed/28824263
http://dx.doi.org/10.1186/s13660-017-1452-6
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