Σ-porosity in monotonic analysis with applications to optimization. (25th May 2005)
- Record Type:
- Journal Article
- Title:
- Σ-porosity in monotonic analysis with applications to optimization. (25th May 2005)
- Main Title:
- Σ-porosity in monotonic analysis with applications to optimization
- Authors:
- Rubinov, A. M.
- Abstract:
- Abstract : We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decreasing functions, and conormal (upward) sets. We prove that the complements of the subset of strictly increasing IPH functions, of the subset of strictly decreasing functions, and of the subset of strictly conormal sets areσ -porous in corresponding spaces. Some applications to optimization are given.
- Is Part Of:
- Abstract and applied analysis. Volume 2005:Number 3(2005)
- Journal:
- Abstract and applied analysis
- Issue:
- Volume 2005:Number 3(2005)
- Issue Display:
- Volume 2005, Issue 3 (2005)
- Year:
- 2005
- Volume:
- 2005
- Issue:
- 3
- Issue Sort Value:
- 2005-2005-0003-0000
- Page Start:
- 287
- Page End:
- 305
- Publication Date:
- 2005-05-25
- Subjects:
- Mathematical analysis -- Periodicals
Mathematical analysis
Applied Mathematics
Mathematical Analysis
Periodicals
515.05 - Journal URLs:
- http://www.hindawi.com/journals/aaa ↗
http://ProjectEuclid.org/aaa ↗ - DOI:
- 10.1155/AAA.2005.287 ↗
- Languages:
- English
- ISSNs:
- 1085-3375
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10203.xml