- Title
- Nonlinear metric subregularity
- Creator
- Kruger, Alexander
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154508
- Identifier
- vital:11142
- Identifier
-
https://doi.org/10.1007/s10957-015-0807-8
- Identifier
- ISSN:0022-3239
- Abstract
- In this article, we investigate nonlinear metric subregularity properties of set-valued mappings between general metric or Banach spaces. We demonstrate that these properties can be treated in the framework of the theory of (linear) error bounds for extended real-valued functions of two variables developed in Kruger (Error bounds and metric subregularity. Optimization 64(1):49-79, 2015). Several primal and dual space local quantitative and qualitative criteria of nonlinear metric subregularity are formulated. The relationships between the criteria are established and illustrated.
- Publisher
- Springer
- Relation
- Journal of Optimization Theory and Applications Vol. 171, no. 3 (2016), p. 820-855; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © Springer Science+Business Media New York 2015
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Error bounds, Slope; Metric regularity; Metric subregularity; Holder metric subregularity; Calmness
- Full Text
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