Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions. (4th May 2018)
- Record Type:
- Journal Article
- Title:
- Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions. (4th May 2018)
- Main Title:
- Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions
- Authors:
- Li, Jinlu
- Abstract:
- Abstract: In this paper, we introduce the concept of isotone cones in Banach spaces. Then, we apply the order monotonic property of the metric projection operator to prove the existence of best approximations for some operators without continuity conditions in partially ordered Banach spaces.
- Is Part Of:
- Optimization. Volume 67:Number 5(2018)
- Journal:
- Optimization
- Issue:
- Volume 67:Number 5(2018)
- Issue Display:
- Volume 67, Issue 5 (2018)
- Year:
- 2018
- Volume:
- 67
- Issue:
- 5
- Issue Sort Value:
- 2018-0067-0005-0000
- Page Start:
- 565
- Page End:
- 583
- Publication Date:
- 2018-05-04
- Subjects:
- Isotone cone -- Chebyshev isotone cone -- universally inductive poset -- partially ordered Banach space -- fixed point -- best approximation
Mathematical optimization -- Periodicals
519.7 - Journal URLs:
- http://www.tandfonline.com/toc/gopt20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/02331934.2018.1445741 ↗
- Languages:
- English
- ISSNs:
- 0233-1934
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6275.100000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6454.xml