On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives. (3rd April 2023)
- Record Type:
- Journal Article
- Title:
- On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives. (3rd April 2023)
- Main Title:
- On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives
- Authors:
- Tinh, Phan Nhat
- Abstract:
- ABSTRACT: By introducing the concepts of generalized Hadamard directional derivatives, we establish first and second order optimality conditions for nonsmooth vector problems with set constraints in normed spaces. Our results generalize, sharpen and strengthen some recent known ones. Illustrative numerical examples are also given.
- Is Part Of:
- Optimization. Volume 72:Number 4(2023)
- Journal:
- Optimization
- Issue:
- Volume 72:Number 4(2023)
- Issue Display:
- Volume 72, Issue 4 (2023)
- Year:
- 2023
- Volume:
- 72
- Issue:
- 4
- Issue Sort Value:
- 2023-0072-0004-0000
- Page Start:
- 1037
- Page End:
- 1068
- Publication Date:
- 2023-04-03
- Subjects:
- Second order tangent sets -- second order approximations -- second order Hadamard directional derivative -- second order optimality condition
49K27 -- 90C30 -- 90C34 -- 90C48
Mathematical optimization -- Periodicals
519.7 - Journal URLs:
- http://www.tandfonline.com/toc/gopt20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/02331934.2022.2132824 ↗
- 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:
- 26137.xml