A new kind of inner superefficient points
| Autor: | Chunhui Shao, Yihong Xu, Lei Wang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Statistics::Theory 021103 operations research Applied Mathematics Research inner superefficient point lcsh:Mathematics 0211 other engineering and technologies Regular polygon superefficient point 02 engineering and technology near cone-subconvexlikeness lcsh:QA1-939 01 natural sciences Dual (category theory) 90C59 010101 applied mathematics Combinatorics Set (abstract data type) Discrete Mathematics and Combinatorics Mutual fund separation theorem 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-11 (2017) Journal of Inequalities and Applications |
| DOI: | 10.1186/s13660-017-1452-6 |
| Popis: | 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’. |
| Databáze: | OpenAIRE |
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