Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1245-1260.

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.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018080
Classification : 46G05, 49Q12, 54C60, 90C31
Mots-clés : Sensitivity analysis, weak perturbation map, directional metric subregularity, contingent derivative, set-valued map
Anh, Nguyen Le Hoang 1

1 
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     author = {Anh, Nguyen Le Hoang},
     title = {Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1245--1260},
     publisher = {EDP-Sciences},
     volume = {53},
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     year = {2019},
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Anh, Nguyen Le Hoang. Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1245-1260. doi : 10.1051/ro/2018080. http://www.numdam.org/articles/10.1051/ro/2018080/

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