- Title
- Primal necessary characterizations of transversality properties
- Creator
- Cuong, Nguyen; Kruger, Alexander
- Date
- 2021
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/176100
- Identifier
- vital:15055
- Identifier
-
https://doi.org/10.1007/s11117-020-00775-5
- Identifier
- ISBN:1385-1292 (ISSN)
- Abstract
- This paper continues the study of general nonlinear transversality properties of collections of sets and focuses on primal necessary (in some cases also sufficient) characterizations of the properties. We formulate geometric, metric and slope characterizations, particularly in the convex setting. The Hölder case is given a special attention. Quantitative relations between the nonlinear transversality properties of collections of sets and the corresponding regularity properties of set-valued mappings as well as two nonlinear transversality properties of a convex set-valued mapping to a convex set in the range space are discussed. © 2020, Springer Nature Switzerland AG.
- Publisher
- Birkhauser
- Relation
- Positivity Vol. 25, no. 2 (2021), p. 531-558; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- Copyright © Springer Nature Switzerland AG 2020
- Rights
- Open Access
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; Regularity; Semiregularity; Semitransversality; Slope; Subregularity; Subtransversality; Transversality
- Full Text
- Reviewed
- Funder
- The research was supported by the Australian Research Council, Project DP160100854. The second author benefited from the support of the FMJH Program PGMO and from the support of EDF.
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