A new kind of inner superefficient points

作者:Xu, Yihong*; Wang, Lei; Shao, Chunhui
来源:JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017, 2017(1): 177.
DOI:10.1186/s13660-017-1452-6

摘要

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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