Error Bounds and Holder Metric Subregularity

Abstract

The Holder setting of the metric subregularity property of set-valued mappings between general metric or Banach/Asplund spaces is investigated in the framework of the theory of error bounds for extended real-valued functions of two variables. A classification scheme for the general Holder metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.

32 pages. arXiv admin note: substantial text overlap with arXiv:1405.1130

References in corpus (1)

• Error Bounds and Metric Subregularity

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