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Super-efficient in vector optimization

Borwein, Jonathan M. and Zhuang, D. (1993) Super-efficient in vector optimization. Trans. Amer. Math. Soc., 338 . pp. 105-122.

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Abstract

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.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 14 Jan 2015 16:34
Last Modified: 14 Jan 2015 16:34
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1561

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