- Title
- About [q]-regularity properties of collections of sets
- Creator
- Kruger, Alexander; Thao, Nguyen
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92587
- Identifier
- vital:9614
- Identifier
-
https://doi.org/10.1016/j.jmaa.2014.02.028
- Identifier
- ISSN:0022-247X
- Abstract
- We examine three primal space local Holder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations. Equivalent metric characterizations of the three mentioned regularity properties as well as a sufficient condition of [q]-subregularity in terms of Frechet normals are established. The relationships between [q]-regularity properties of collections of sets and the corresponding regularity properties of set-valued mappings are discussed.
- Publisher
- Elsevier Ltd
- Relation
- Journal of Mathematical Analysis and Applications Vol. 416, no. 2 (2014), p. 471-496; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © 2014 Elsevier Inc. All rights reserved.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; 0906 Electrical and Electronic Engineering; Metric regularity; Uniform regularity; Normal cone; Subdifferential
- Full Text
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