Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization
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Publication:1683297
DOI10.1007/s11117-017-0491-zzbMath1386.90155OpenAlexW2606275976MaRDI QIDQ1683297
Publication date: 6 December 2017
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-017-0491-z
higher-order sensitivity analysisproper perturbation mapparametric vector optimizationvariational setsasymptotic variational setsvariational compact
Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (4)
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 ⋮ Generalized higher-order semi-derivative of the perturbation maps in vector optimization ⋮ On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems
Cites Work
- Unnamed Item
- Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets
- On higher-order adjacent derivative of perturbation map in parametric vector optimization
- Normal subdifferentials of efficient point multifunctions in parametric vector optimization
- Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization
- Differential properties and optimality conditions for generalized weak vector variational inequalities
- Second-order differentiability of generalized perturbation maps
- On higher-order sensitivity analysis in nonsmooth vector optimization
- Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
- Lower Studniarski derivative of the perturbation map in parametrized vector optimization
- Second-order asymptotic differential properties and optimality conditions for weak vector variational inequalities
- Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization
- Generalized Clarke epiderivatives of parametric vector optimization problems
- On proto-differentiability of generalized perturbation maps
- Subgradients of marginal functions in parametric mathematical programming
- Sensitivity analysis in convex programming
- Coderivatives of efficient point multifunctions in parametric vector optimization
- Sensitivity of solutions to a parametric generalized equation
- Sensitivity analysis in multiobjective optimization
- Proto-differentiability of set-valued mappings and its applications in optimization
- Contingent derivative of the perturbation map in multiobjective optimization
- Sensitivity analysis in convex vector optimization
- Sensitivity analysis in differential programming through the Clarke derivative
- Sensitivity analysis in vector optimization
- Sensitivity analysis in parametrized convex vector optimization
- Sensitivity analysis for convex multiobjective programming in abstract spaces
- Second-order optimality conditions for strict efficiency of constrained set-valued optimization
- Stability analysis for higher-order adjacent derivative in parametrized vector optimization
- Sensitivity analysis in convex optimization through the circatangent derivative
- Sensitivity analysis in constrained set-valued optimization via Studniarski derivatives
- On sensitivity analysis in vector optimization
- Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces
- Second-order optimality conditions in set-valued optimization via asymptotic derivatives
- Stability and Sensitivity Analysis in Convex Vector Optimization
- Second-Order Conditions for Optimization Problems with Constraints
- Sensitivity Analysis of Solutions to Generalized Equations
- Equilibrium problems with equilibrium constraints via multiobjective optimization
- Variational conditions and the proto-differentiation of partial subgradient mappings
- Set-valued analysis
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