Radius Theorems for Subregularity in Infinite Dimensions
arXiv:2206.10347 · doi:10.1007/s10589-022-00431-6
Abstract
The paper continues our previous work [7] on the radius of subregularity that was initiated by Asen Dontchev. We extend the results of [7] 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.
31 pages
References in corpus (7)
- Error Bounds and Metric Subregularity
- On Lipschitzian properties of implicit multifunctions
- Quantitative convergence analysis of iterated expansive, set-valued mappings
- Strong Metric Subregularity of Mappings in Variational Analysis and Optimization
- Necessary conditions for linear convergence of iterated expansive, set-valued mappings with application to alternating projections
- Perturbation of error bounds
- The Radius of Metric Subregularity