Error Bounds and Metric Subregularity
arXiv:1405.1130 · doi:10.1080/02331934.2014.938074
Abstract
Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a special family of extended real-valued functions of two variables. A classification scheme for the general error bound and metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.
32 pages
References in corpus (1)
Cited by in corpus (28)
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- Necessary Conditions for Non-Intersection of Collections of Sets
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- On Metric Subregularity for Convex Constraint Systems by Primal Equivalent Conditions