Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization
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Publication:691491
DOI10.1007/s11590-011-0298-yzbMath1280.90110OpenAlexW1994920211MaRDI QIDQ691491
Publication date: 30 November 2012
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-011-0298-y
vector optimizationsecond-order contingent derivativesupper and lower semicontinuityproper perturbation mapssensitivity and stability
Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)
Related Items (14)
On higher-order adjacent derivative of perturbation map in parametric vector optimization ⋮ On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization ⋮ On higher-order proto-differentiability of perturbation maps ⋮ On second-order proto-differentiability of perturbation maps ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ Generalized higher-order semi-derivative of the perturbation maps in vector optimization ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ Second-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization Problems ⋮ Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ Second-order composed contingent derivatives of perturbation maps in set-valued optimization ⋮ Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization ⋮ On Second-Order Composed Proto-Differentiability of 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
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