Volume 55, Number 5, September-October 2021
|Page(s)||3041 - 3048|
|Published online||13 October 2021|
Optimality conditions for nonsmooth multiobjective bilevel optimization using tangential subdifferentials
FSDM, Department of Mathematics, Sidi Mohamed Ben Abdellah University, Fez, Morocco
2 School of Science and Engineering, Al Akhawayn University in Ifrane, PO Box 104, Ifrane 53000, Morocco
Accepted: 9 September 2021
In combining the value function approach and tangential subdifferentials, we establish necessary optimality conditions of a nonsmooth multiobjective bilevel programming problem under a suitable constraint qualification. The upper level objectives and constraint functions are neither assumed to be necessarily locally Lipschitz nor convex.
Mathematics Subject Classification: 49J52 / 90C46 / 58E35
Key words: Nonsmooth multiobjective optimization / bilevel programming / optimality conditions / optimal value function / constraint qualifications / tangential subdifferentials
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.