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A new kind of inner superefficient points
Yihong Xu1, Lei Wang1, Chunhui Shao1
1Department of Mathematics, Nanchang University, Nanchang, 330031 China.
Abstract:
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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