Sensitivity analysis in differential programming through the Clarke derivative

DOI10.1007/s00009-011-0143-7zbMath1274.90350OpenAlexW2034161803MaRDI QIDQ1758634

Pedro Jiménez Guerra, Miguel Angel Melguizo Padial

Publication date: 15 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0143-7

zbMATH Keywords

multiobjective programmingtangential regularityset-valued mapclarke derivativedifferential programming

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued maps in general topology (54C60)

Related Items (6)

On higher-order adjacent derivative of perturbation map in parametric vector optimization ⋮ Unnamed Item ⋮ On higher-order proto-differentiability of perturbation maps ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ A natural extension of the classical envelope theorem in vector differential programming ⋮ Paratingent derivative applied to the measure of the sensitivity in multiobjective differential programming

Cites Work

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• Generalized Clarke epiderivatives of parametric vector optimization problems
• Sensitivity analysis in convex programming
• Decomposition of the parametric space in multiobjective convex programs using the generalized Tchebycheff norm
• Sensitivity analysis in multiobjective optimization
• Sensitivity and optimality conditions in the multiobjective differential programming
• Convex analysis and nonlinear optimization. Theory and examples
• Sensitivity analysis in multiple objective linear programming: The tolerance approach
• On the envolvent theorem in multiobjective programming
• Sensitivity analysis in vector optimization
• Sensitivity analysis for convex multiobjective programming in abstract spaces
• Sensitivity analysis in multiobjective differential programming
• Stability and Sensitivity Analysis in Convex Vector Optimization
• Differentiable selection of optimal solutions in parametric linear programming
• Set-valued analysis
• Density theorems for ideal points in vector optimization

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