- Title
- A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case
- Creator
- Kasimbeyli, Nergiz; Kasimbeyli, Refail; Mammadov, Musa
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/102050
- Identifier
- vital:10741
- Identifier
- ISBN:0233-1934
- Abstract
- The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space.
- Publisher
- Taylor & Francis Ltd
- Relation
- Optimization Vol. 65, no. 5 (May 2016), p. 937-945
- Rights
- Copyright © 2016 Taylor & Francis.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Vector optimization; Density theorem; Nonlinear separation theorem; Augmented dual cone; Proper efficiency
- Full Text
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