Super efficiency in vector optimization-Reference-Cited by-同舟云学术

Super efficiency in vector optimization

Published:1993 Issue:1 Volume:338 Page:105-122
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Borwein J. M.,Zhuang D.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-338-01/S0002-9947-1993-1098432-5/S0002-9947-1993-1098432-5.pdf

Reference22 articles.

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3. The geometry of Pareto efficiency over cones;Borwein, J. M.;Math. Operationsforsch. Statist. Ser. Optim.,1980

4. Continuity and differentiability properties of convex operators;Borwein, J. M.;Proc. London Math. Soc. (3),1982

5. On the existence of Pareto efficient points;Borwein, Jonathan M.;Math. Oper. Res.,1983

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