Volume 53, Number 4, October 2019
|Page(s)||1245 - 1260|
|Published online||29 July 2019|
Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization
Department of Optimization and System Theory, University of Science, Vietnam National University Hochiminh City, 227 Nguyen Van Cu, District 5, Ho Chi Minh City, Vietnam
* Corresponding author: firstname.lastname@example.org
Accepted: 19 September 2018
In the paper, we first establish relationships between second-order contingent derivatives of a given set-valued map and that of the weak perturbation map. Then, these results are applied to sensitivity analysis for parametric equilibrium problems in set-valued optimization.
Mathematics Subject Classification: 46G05 / 49Q12 / 54C60 / 90C31
Key words: Sensitivity analysis / weak perturbation map / directional metric subregularity / contingent derivative / set-valued map
© EDP Sciences, ROADEF, SMAI 2019
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.