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arXiv · 1405.1130

Error Bounds and Metric Subregularity

Alexander Y. Kruger
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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.

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Alexander Y. Kruger. 2014-05-06. Error Bounds and Metric Subregularity. https://doi.org/10.1080/02331934.2014.938074

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