Sensitivity analysis for set-valued equilibrium problems

Sensitivity analysis for set-valued equilibrium problems

In the paper, we mention a parametrized vector equilibrium problem via sum of two given set-valued maps, considered as a unified model of some problems in variational analysis and optimization. Then, we study sensitivity analysis for this problem in terms of the second-order contingent derivatives....

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2021-02, Vol.25 (1), p.31-48
Hauptverfasser: Anh, Nguyen Le Hoang, Linh, Ha Manh
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Optimization
Potential Theory
Sensitivity analysis
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Zusammenfassung:In the paper, we mention a parametrized vector equilibrium problem via sum of two given set-valued maps, considered as a unified model of some problems in variational analysis and optimization. Then, we study sensitivity analysis for this problem in terms of the second-order contingent derivatives. Finally, corresponding results for special cases are implied.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-020-00748-8