Radius theorems for subregularity in infinite dimensions

Helmut Gfrerer () and Alexander Y. Kruger ()
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Helmut Gfrerer: Johannes Kepler University Linz
Alexander Y. Kruger: Ton Duc Thang University

Computational Optimization and Applications, 2023, vol. 86, issue 3, No 11, 1117-1158

Abstract: Abstract The paper continues our previous work (Dontchev et al. in Set-Valued Var Anal 28:451–473, 2020) on the radius of subregularity that was initiated by Asen Dontchev. We extend the results of (Dontchev et al. in Set-Valued Var Anal 28:451–473, 2020) to general Banach/Asplund spaces and to other classes of perturbations, and sharpen the coderivative tools used in the analysis of the robustness of well-posedness of mathematical problems and related regularity properties of mappings involved in the statements. We also expand the selection of classes of perturbations, for which the formula for the radius of strong subregularity is valid.

Keywords: Subregularity; Generalized differentiation; Radius theorems; 49J52; 49J53; 49K40; 90C31 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10589-022-00431-6

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