On e-convex functions and e-subdifferentials in locally convex spaces. (4th May 2023)
- Record Type:
- Journal Article
- Title:
- On e-convex functions and e-subdifferentials in locally convex spaces. (4th May 2023)
- Main Title:
- On e-convex functions and e-subdifferentials in locally convex spaces
- Authors:
- Alizadeh, Mohammad Hossein
- Abstract:
- Abstract : We introduce and study the notion of e -subdifferential for an e -convex function in locally convex spaces. Some relationships between the e -subdifferential and the Clarke–Rockafellar subdifferential are established. Besides, the e -convex functions are characterized. Moreover, some results regarding the locally Lipschitz properties of e -convex functions are obtained.
- Is Part Of:
- Optimization. Volume 72:Number 5(2023)
- Journal:
- Optimization
- Issue:
- Volume 72:Number 5(2023)
- Issue Display:
- Volume 72, Issue 5 (2023)
- Year:
- 2023
- Volume:
- 72
- Issue:
- 5
- Issue Sort Value:
- 2023-0072-0005-0000
- Page Start:
- 1347
- Page End:
- 1362
- Publication Date:
- 2023-05-04
- Subjects:
- Generalized convex functions -- Lipschitz property -- generalized subdifferentials
47H05 -- 49J53 -- 46B10 -- 26A27 -- 26A48
Mathematical optimization -- Periodicals
519.7 - Journal URLs:
- http://www.tandfonline.com/toc/gopt20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/02331934.2021.2015769 ↗
- 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:
- 26997.xml