Stability of the optimal values under small perturbations of the constraint set

zbMath1457.49019arXiv1902.02363MaRDI QIDQ5855990

Daniel Reem, Simeon Reich, Alvaro Rodolfo de Pierro

Publication date: 23 March 2021

Full work available at URL: https://arxiv.org/abs/1902.02363

zbMATH Keywords

stabilityextreme valuesLipschitz continuityoptimal value functionuniform continuitydistance functionHausdorff distanceoptimal valuesHoffman's lemmaextended generalized invers (EGI)pseudo-distance space

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31) Theory of matrix inversion and generalized inverses (15A09) Metric spaces, metrizability (54E35)

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