Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization

DOI10.1186/s13660-020-02499-2zbMath1503.49022OpenAlexW3093288397MaRDI QIDQ2069572

Xiao-Wei Xue

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02499-2

zbMATH Keywords

parametric vector optimizationFréchet coderivativeefficient point set-valued mapAubin propertyefficient solution set-valued map

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53)

Cites Work

• Unnamed Item
• Sensitivity analysis of parametric vector set-valued optimization problems via coderivatives
• Clarke coderivatives of efficient point multifunctions in parametric vector optimization
• Codifferential calculus
• Second-order differential and sensitivity properties of weak vector variational inequalities
• 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
• Contingent derivative of the perturbation map in multiobjective optimization
• Nonsingularity conditions for multifunctions
• Variational methods in partially ordered spaces
• Differential and sensitivity properties of gap functions for vector variational inequalities
• Coderivatives in parametric optimization
• Weakly upper Lipschitz multifunctions and applications in parametric optimization
• Sensitivity analysis in vector optimization
• On sensitivity analysis in vector optimization
• Differential and sensitivity properties of gap functions for Minty vector variational inequalities
• Sensitivity Analysis of the Value Function for Optimization Problems with Variational Inequality Constraints
• Stability and Sensitivity Analysis in Convex Vector Optimization
• Variational Analysis
• Variational Analysis and Applications
• Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
• Sensitivity analysis of gap functions for vector variational inequality via coderivatives
• Set-valued analysis

This page was built for publication: Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization