Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization

DOI10.1007/s10957-012-0257-5zbMath1272.90076OpenAlexW2048730733MaRDI QIDQ368726

Nguyen Le Hoang Anh, Phan Quoc Khanh

Publication date: 23 September 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0257-5

zbMATH Keywords

sensitivity analysisnonsmooth vector optimizationperturbation mapssingular variational setsvariational setsweak perturbation maps

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (15)

On higher-order adjacent derivative of perturbation map in parametric vector optimization ⋮ Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ Solution sensitivity of generalized nonlinear parametric \((A, \eta, m)\)-proximal operator system of equations in Hilbert spaces ⋮ On higher-order proto-differentiability of perturbation maps ⋮ On sensitivity analysis of parametric set-valued equilibrium problems under the weak efficiency ⋮ Higher-order tangent derivative and its applications to sensitivity analysis ⋮ Some results on sensitivity analysis in set-valued optimization ⋮ 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 ⋮ On higher-order sensitivity analysis in nonsmooth vector optimization ⋮ Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization ⋮ Higher-order generalized tangent epiderivatives and applications to set-valued optimization ⋮ On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems ⋮ Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets

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