- Title
- Stationarity and regularity of set systems
- Creator
- Kruger, Alexander
- Date
- 2005
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/61561
- Identifier
- vital:497
- Identifier
- http://www.optimization-online.org/DB_HTML/2004/06/895.html
- Identifier
- ISSN:1348-9151
- Abstract
- Extremality, stationarity and regularity notions for a system of closed sets in a normed linear space are investigated. The equivalence of different abstract “extremal” settings in terms of set systems and multifunctions is proved. The dual necessary and sufficient conditions of weak stationarity (the Extended extremal principle) are presented for the case of an Asplund space.
- Publisher
- Yokohama, Japan Yokohama Publishers
- Relation
- Pacific Journal of Optimization Vol. 1, no. 1 (2005), p. 101-126
- Rights
- Open Access
- Rights
- Copyright Yokohama Publishers
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; Nonsmooth analysis; Normal cone; Optimality; Extremality; Stationarity; Regularity; Set-valued mapping; Asplund space
- Full Text
- Reviewed
- Hits: 8437
- Visitors: 8491
- Downloads: 78
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Accepted version | 246 KB | Adobe Acrobat PDF | View Details Download |