- Title
- Stability of closedness of convex cones under linear mappings II
- Creator
- Borwein, Jonathan M.; Moors, Warren B.
- Relation
- Journal of Nonlinear Analysis and Optimization: Theory and Applications Vol. 1, Issue 1, p. 1-7
- Relation
- http://www.math.sci.nu.ac.th/ojs/index.php/jnao/article/view/5
- Publisher
- Naresuan University
- Resource Type
- journal article
- Date
- 2010
- Description
- In this paper we revisit the question of when the continuous linear image of a fixed closed convex cone K is closed. Specifically, we improve the main result of [3] by showing that for all, except for at most a σ porous set, of the linear mappings T from ℐⁿ into ℐၐ, not only is T(K) closed, but there is also a neighbourhood around T whose members also preserve the closedness of K.
- Subject
- closed convex cone; linear mapping; stability; linear programming
- Identifier
- http://hdl.handle.net/1959.13/931717
- Identifier
- uon:11145
- Identifier
- ISSN:1906-9685
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 987 KB | Adobe Acrobat PDF | View Details Download |