Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization

DOI10.1007/s10898-012-0025-yzbMath1277.49033OpenAlexW2010524577MaRDI QIDQ386471

Jen-Chih Yao, Thai Doan Chuong

Publication date: 9 December 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-012-0025-y

zbMATH Keywords

sensitivity analysisFréchet subdifferentialefficient point multifunctionparametric vector optimizationFréchet coderivative

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Related Items (11)

On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization ⋮ A proximal point algorithm based on decomposition method for cone constrained multiobjective optimization problems ⋮ On higher-order proto-differentiability of perturbation maps ⋮ 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 ⋮ Sensitivity analysis of multi-objective optimal control problems ⋮ Sensitivity Analysis of Multiobjective Optimization Problems with Parameterized Quasi-Variational Inequalities ⋮ 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

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• Normal subdifferentials of efficient point multifunctions in parametric vector optimization
• Clarke coderivatives of efficient point multifunctions in parametric vector optimization
• Generalized Clarke epiderivatives of parametric vector optimization problems
• Codifferential calculus
• Compact nets, filters, and relations
• Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs
• Subgradients of marginal functions in parametric mathematical programming
• Coderivatives of efficient point multifunctions in parametric vector optimization
• Coderivatives of frontier and solution maps in parametric multiobjective optimization
• Stability of semi-infinite vector optimization problems under functional perturbations
• Pseudo-Lipschitz property of linear semi-infinite vector optimization problems
• Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems
• Sensitivity analysis in multiobjective optimization
• Sensitivity analysis in convex vector optimization
• Semi-infinite programming. Workshop, Cottbus, Germany, September 1996
• Sensitivity analysis in vector optimization
• Necessary conditions for super minimizers in constrained multiobjective optimization
• On sensitivity analysis in vector optimization
• Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions
• Subdifferentials of Marginal Functions in Semi-infinite Programming
• Constraint Qualifications for Convex Inequality Systems with Applications in Constrained Optimization
• Stability and Sensitivity Analysis in Convex Vector Optimization
• New Farkas-type constraint qualifications in convex infinite programming

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