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: email@example.com
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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