- Title
- Super efficiency in vector optimization
- Creator
- Borwein, J. M.; Zhuang, D.
- Relation
- Transactions of the American Mathematical Society Vol. 338, Issue 1, p. 105-122
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9947-1993-1098432-5
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1993
- Description
- We introduce a new concept of efficiency in vector optimization. This concept, super efficiency, is shown to have many desirable properties. In particular, we show that in reasonable settings the super efficient points of a set are norm-dense in the efficient frontier. We also provide a Chebyshev characterization of super efficient points for nonconvex sets and a scalarization theory when the underlying set is convex.
- Subject
- vector optimization; efficiency; proper efficiency; super efficiency; density theorem; Chebyshev scalarization
- Identifier
- http://hdl.handle.net/1959.13/940426
- Identifier
- uon:13007
- Identifier
- ISSN:0002-9947
- Rights
- First published in Transactions of the American Mathematical Society in Vol. 338, No. 1, pp. 105-122, 1993, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
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|---|---|---|---|---|---|---|---|
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