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Error Bounds and Metric Subregularity

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

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.

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

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: Optimization (2015) 64:1, 49-79

Download: [PDF]

Entry Submitted: 05/05/2014
Entry Accepted: 05/06/2014
Entry Last Modified: 01/17/2015

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