- Title
- Weak tangent cones and optimization in a Banach space
- Creator
- Borwein, J.
- Relation
- SIAM Journal on Control and Optimization Vol. 16, Issue 3, p. 512-522
- Publisher Link
- http://dx.doi.org/10.1137/0316034
- Publisher
- Society for Industrial and Applied Mathematics (SIAM)
- Resource Type
- journal article
- Date
- 1978
- Description
- A general notion of a r-tangent cone is introduced and developed for optimization purposes. This includes as special cases both the weak and strong tangent cones that appear in the literature. First order conditions with and without constraint qualification are examined and particular examples are provided to demonstrate that these conditions properly subsume those previously in the literature. Emphasis is placed on weak Kuhn–Tucker sufficiency conditions.
- Subject
- Banach space; tangent cones; Kuhn-Tucker program
- Identifier
- http://hdl.handle.net/1959.13/940499
- Identifier
- uon:13024
- Identifier
- ISSN:0363-0129
- Language
- eng
- Full Text
- Reviewed
- Hits: 5198
- Visitors: 5610
- Downloads: 476
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 1 MB | Adobe Acrobat PDF | View Details Download |