Issue |
ESAIM: COCV
Volume 27, 2021
|
|
---|---|---|
Article Number | 9 | |
Number of page(s) | 22 | |
DOI | https://doi.org/10.1051/cocv/2021004 | |
Published online | 03 March 2021 |
On tangent cone to systems of inequalities and equations in Banach spaces under relaxed constant rank condition
1
Warsaw University of Technology, 00-662 Warszawa, Koszykowa 75, Systems Research Institute of PAS, PAS,
01-447
Warsaw, Newelska 6.
2
Systems Research Institute, PAS,
01-447
Warsaw, Newelska 6.
3
Cardinal Stefan Wyszyński University,
01-815
Warsaw, Dewajtis 5.
* Corresponding author: k.rutkowski@uksw.edu.pl
Received:
10
October
2019
Accepted:
5
January
2021
Under the relaxed constant rank condition, introduced by Minchenko and Stakhovski, we prove that the linearized cone is contained in the tangent cone (Abadie condition) for sets represented as solution sets to systems of finite numbers of inequalities and equations given by continuously differentiable functions defined on Banach spaces.
Mathematics Subject Classification: 47J07 / 47J30 / 49J27 / 49K27 / 90C46
Key words: Tangent cone / relaxed constant rank condition / Abadie condition / rank theorem / Ljusternik theorem / Lagrange multipliers
© EDP Sciences, SMAI 2021
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.