Sensitivity analysis using the tangent derivative

DOI10.1080/01630569208816467zbMath0724.49010OpenAlexW2119370134MaRDI QIDQ4711185

Jürgen Klose

Publication date: 25 June 1992

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569208816467

zbMATH Keywords

sensitivity analysisparametrized vector optimizationtangent derivativeBouligand's tangent conepretopological real vector spaces

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Programming in abstract spaces (90C48)

Related Items (8)

Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization ⋮ Some results on sensitivity analysis in set-valued optimization ⋮ Second-Order Composed Contingent Derivative of the Perturbation Map in Multiobjective Optimization ⋮ Unnamed Item ⋮ An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization ⋮ Sensitivity in multiobjective optimization: The generalized envolvent theorem ⋮ Optimality and Duality for Non-Lipschitz Multiobjective Optimization Problems ⋮ Sensitivity analysis in convex optimization through the circatangent derivative

Cites Work

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• Limesräume
• Sensitivity analysis in multiobjective optimization
• A note on products of convergence spaces
• Directional differentiability of the optimal value function in a nonlinear programming problem
• Lipschitzian properties of multifunctions
• Stability and Sensitivity Analysis in Convex Vector Optimization
• Proper Efficient Points for Maximizations with Respect to Cones
• Differentiability in optimization theory¹
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces

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