Second-order contingent derivatives of set-valued mappings with application to set-valued optimization

DOI10.1016/j.amc.2011.12.064zbMath1268.90096OpenAlexW2021117634MaRDI QIDQ428103

J. Herrera, H. S. Yoon

Publication date: 19 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.064

zbMATH Keywords

sensitivity analysisset-valued optimization(weak) perturbation mappingsecond-order contingent derivative

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31)

Related Items (8)

Higher-order sensitivity analysis in set-valued optimization under Henig efficiency ⋮ On second-order proto-differentiability of perturbation maps ⋮ Generalized higher-order semi-derivative of the perturbation maps in vector optimization ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ Optimization of fourth-order discrete-approximation inclusions ⋮ Second-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization Problems ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems

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