On generalized second-order proto-differentiability of the Benson proper perturbation maps in parametric vector optimization problems

On generalized second-order proto-differentiability of the Benson proper perturbation maps in parametric vector optimization problems

This paper is concerned with second-order sensitivity analysis of parameterized vector optimization problems via generalized second-order contingent derivative. We prove that the Benson proper efficient solution map and the Benson proper efficient perturbation map of a parametric vector optimization...

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2022-04, Vol.26 (2), Article 27
1. Verfasser: Pham, Thanh-Hung
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Optimization
Parameter sensitivity
Perturbation
Potential Theory
Sensitivity analysis
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Beschreibung
Zusammenfassung:This paper is concerned with second-order sensitivity analysis of parameterized vector optimization problems via generalized second-order contingent derivative. We prove that the Benson proper efficient solution map and the Benson proper efficient perturbation map of a parametric vector optimization problem are generalized second-order proto-differentiable under some suitable qualification conditions. Several examples are given to illustrate the obtained results.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-022-00899-w