Calculus for Directional Limiting Normal Cones and Subdifferentials

0493120 - ÚTIA 2020 RIV NL eng J - Journal Article
Benko, M. - Gfrerer, H. - Outrata, Jiří
Calculus for Directional Limiting Normal Cones and Subdifferentials.
Set-Valued and Variational Analysis. Roč. 27, č. 3 (2019), s. 713-745. ISSN 1877-0533. E-ISSN 1877-0541
R&D Projects: GA ČR GA17-04301S; GA ČR GA17-08182S
Institutional support: RVO:67985556
Keywords : Generalized differential calculus * Directional limiting normal cone * Directional limiting subdifferential * Qualification conditions
OECD category: Pure mathematics
Impact factor: 1.476, year: 2019
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2018/MTR/outrata-0493120.pdf https://link.springer.com/article/10.1007%2Fs11228-018-0492-5

The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper.
Permanent Link: http://hdl.handle.net/11104/0286550