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Error Bounds and Holder Metric Subregularity

Alexander Y. Kruger (a.kruger***at***federation.edu.au)

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.

Keywords: error bounds; slope; metric regularity; metric subregularity; Holder metric subregularity

Category 1: Convex and Nonsmooth Optimization

Citation: Set-Valued and Variational Analysis (2015) 23:705736. DOI: 10.1007/s11228-015-0330-y

Download: [PDF]

Entry Submitted: 11/24/2014
Entry Accepted: 11/24/2014
Entry Last Modified: 12/15/2015

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