DENSITY RESULTS FOR PROPER EFFICIENCIES

Authors
ZHUANG DM
Citation
Dm. Zhuang, DENSITY RESULTS FOR PROPER EFFICIENCIES, SIAM journal on control and optimization, 32(1), 1994, pp. 51-58
Citations number
26
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
32
Issue
1
Year of publication
1994
Pages
51 - 58
Database
ISI
SICI code
0363-0129(1994)32:1<51:DRFPE>2.0.ZU;2-Z
Abstract
Several density results are established for different notions of prope r efficiency in vector optimization without the requirement of orderin g cones being boundedly based. For a compact set, the set of Henig pro per efficient points is shown to be dense ih the set of all efficient points. Density theorems for Borwein's proper efficiency and for posit ive scalarizable efficiency follow immediately with appropriate assump tions.