Sensitivity analysis in convex vector optimization
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Publication:1321327
DOI10.1007/BF00940783zbMath0796.90050MaRDI QIDQ1321327
Publication date: 27 April 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Related Items (41)
Higher-order sensitivity analysis in set-valued optimization under Henig efficiency ⋮ Sensitivity analysis in constrained set-valued optimization via Studniarski derivatives ⋮ On higher-order adjacent derivative of perturbation map in parametric vector optimization ⋮ Sensitivity analysis in set-valued optimization under strictly minimal efficiency ⋮ On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization ⋮ Second-order differential and sensitivity properties of weak vector variational inequalities ⋮ Normal subdifferentials of efficient point multifunctions in parametric vector optimization ⋮ Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization ⋮ Continuity of second-order contingent derivative of the efficient set map for parametrized multiobjective optimization ⋮ Clarke coderivatives of efficient point multifunctions in parametric vector optimization ⋮ On higher-order proto-differentiability of perturbation maps ⋮ Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization ⋮ On second-order proto-differentiability of perturbation maps ⋮ Some results on sensitivity analysis in set-valued optimization ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ Sensitivity analysis for a Lagrange dual problem to a vector optimization problem ⋮ S-derivative of the extremum multifunction to a multi-objective parametric discrete optimal control problem ⋮ Differential stability in a multi-objective optimal control problems with a possibly empty solution set ⋮ Generalized higher-order semi-derivative of the perturbation maps in vector optimization ⋮ The Clarke coderivative of the frontier map in a multi-objective optimal control problem ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ Second-order contingent derivatives of set-valued mappings with application to set-valued optimization ⋮ Stability and sensitivity analysis of solutions to weak vector variational inequalities ⋮ Derivatives of the efficient point multifunction in parametric vector optimization problems ⋮ Lower Studniarski derivative of the perturbation map in parametrized vector optimization ⋮ Stability analysis for higher-order adjacent derivative in parametrized vector optimization ⋮ On higher-order sensitivity analysis in nonsmooth vector optimization ⋮ Sensitivity analysis of multi-objective optimal control problems ⋮ Second-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization Problems ⋮ Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization ⋮ Sensitivity analysis of parametric weak vector equilibrium problems ⋮ Second-order contingent derivative of the perturbation map in multiobjective optimization ⋮ An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization ⋮ Generalized Clarke epiderivatives of parametric vector optimization problems ⋮ Generalized second-order contingent epiderivatives in parametric vector optimization problems ⋮ Differential stability properties in convex scalar and vector optimization ⋮ \(S\)-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems ⋮ Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization ⋮ Generalized Clarke epiderivatives of the extremum multifunction to a multi-objective parametric discrete optimal control problem ⋮ Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map ⋮ On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems
Cites Work
- Theory of multiobjective optimization
- Sensitivity analysis in multiobjective optimization
- An improved definition of proper efficiency for vector maximization with respect to cones
- Proper efficiency with respect to cones
- Contingent derivative of the perturbation map in multiobjective optimization
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Stability and Sensitivity Analysis in Convex Vector Optimization
- State Constraints in Convex Control Problems of Bolza
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