A new notion of semicontinuity of vector functions and its properties. (2nd August 2020)
- Record Type:
- Journal Article
- Title:
- A new notion of semicontinuity of vector functions and its properties. (2nd August 2020)
- Main Title:
- A new notion of semicontinuity of vector functions and its properties
- Authors:
- Hernández, E.
López, R. - Abstract:
- ABSTRACT: A new notion of semicontinuity of vector functions in terms of metrizable spaces called external semicontinuity (esc) is introduced. We present some of its topological and geometrical properties and establish a characterization via the closedness of its epigraph, coepigraph, level and colevel sets. Then esc regularization is studied. Our contributions can be viewed as generalizations of standard results from the scalar case.
- Is Part Of:
- Optimization. Volume 69:Number 7/8(2020)
- Journal:
- Optimization
- Issue:
- Volume 69:Number 7/8(2020)
- Issue Display:
- Volume 69, Issue 7/8 (2020)
- Year:
- 2020
- Volume:
- 69
- Issue:
- 7/8
- Issue Sort Value:
- 2020-0069-NaN-0000
- Page Start:
- 1831
- Page End:
- 1846
- Publication Date:
- 2020-08-02
- Subjects:
- Vector functions -- regularization -- lower semicontinuity -- epigraph -- coepigraph
Mathematical optimization -- Periodicals
519.7 - Journal URLs:
- http://www.tandfonline.com/toc/gopt20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/02331934.2020.1756286 ↗
- 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:
- 22379.xml