Differential stability properties in convex scalar and vector optimization

DOI10.1007/s11228-021-00601-4zbMath1481.49019OpenAlexW3196131783MaRDI QIDQ2070403

Yanyan Li

Publication date: 24 January 2022

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-021-00601-4

zbMATH Keywords

vector optimizationapproximate solutionoptimal value function\(\varepsilon\)-subdifferentialdifferential stabilityparametric convex programmingcone proper setinfimal setweak minimal solutionlimiting calculus rule

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Convexity of real functions of several variables, generalizations (26B25)

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Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems ⋮ Differential stability in a multi-objective optimal control problems with a possibly empty solution set

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