- Title
- Holder error bounds and holder calmness with applications to convex semi-infinite optimization
- Creator
- Kruger, Alexander; Lopez, Marco; Yang, Xiaoqi; Zhu, Jiangxing
- Date
- 2019
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/171269
- Identifier
- vital:14286
- Identifier
-
https://doi.org/10.1007/s11228-019-0504-0
- Identifier
- ISBN:1877-0533
- Abstract
- Using techniques of variational analysis, necessary and sufficient subdifferential conditions for Holder error bounds are investigated and some new estimates for the corresponding modulus are obtained. As an application, we consider the setting of convex semi-infinite optimization and give a characterization of the Holder calmness of the argmin mapping in terms of the level set mapping (with respect to the objective function) and a special supremum function. We also estimate the Holder calmness modulus of the argmin mapping in the framework of linear programming.
- Publisher
- Springer Nature
- Relation
- Set-Valued and Variational Analysis Vol. 27, no. 4 (Dec 2019), p. 995-1023
- Rights
- Green - Postprint, 12 month embargo
- Rights
- http://purl.org/au-research/grants/arc/DP160100854
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Holder error bounds; Holder calmness; Convex programming; Semi-infinite; Programming; Metric subregularity; Stability; Regularity; Principles; Respect
- Full Text
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