- Title
- A characterization of quasiconvex vector-valued functions
- Creator
- Benoist, Joël; Borwein, Jonathan M.; Popovici, Nicolae
- Relation
- Proceedings of the American Mathematical Society Vol. 131, Issue 4, p. 1109-1113
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-02-06761-8
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 2003
- Description
- The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are Κ-quasiconvex with respect to a closed convex cone Κ in a Banach space. Our main result extends a wellknown characterization of Κ-quasiconvexity by means of extreme directions of the polar cone of Κ, obtained by Dinh The Luc in the particular case when Κ is a polyhedral cone generated by exactly n linearly independent vectors in the Euclidean space ℝn.
- Subject
- Banach space; quasiconvex vector-valued functions; scalarization; polar cones
- Identifier
- http://hdl.handle.net/1959.13/940333
- Identifier
- uon:12984
- Identifier
- ISSN:0002-9939
- Rights
- uon-CPE64905227 First published in Proceedings of the American Mathematical Society in Vol. 131, No. 4, pp. 1109-1113, 2003 published by the American Mathematical Society.
- Language
- eng
- Full Text
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