| Issue |
RAIRO-Oper. Res.
Volume 53, Number 4, October 2019
|
|
|---|---|---|
| Page(s) | 1245 - 1260 | |
| DOI | https://doi.org/10.1051/ro/2018080 | |
| Published online | 29 July 2019 | |
Research Article
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: nlhanh@hcmus.edu.vn
Received:
2
May
2018
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
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