- Title
- Nonlinear transversality of collections of sets : dual space necessary characterizations
- Creator
- Cuong, Nguyen; Kruger, Alexander
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/173769
- Identifier
- vital:14714
- Identifier
- ISBN:0944-6532
- Abstract
- This paper continues the study of `good arrangements' of collections of sets in normed spaces near a point in their intersection. Our aim is to study general nonlinear transversality properties. We focus on dual space (subdifferential and normal cone) necessary characterizations of these properties. As an application, we provide dual necessary conditions for the nonlinear extensions of the new transversality properties of a set-valued mapping to a set in the range space due to Ioffe.; 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.
- Publisher
- Heldermann Verlag
- Relation
- Journal of Convex Analysis Vol. 27, no. 1 (2020), p. 285-306; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright Heldermann Verlag
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Transversality; Subtransversality; Semitransversality; Slope; Subdifferential; Normal cone; Bounded linear regularity; Error-bounds; Strong chip; Infinite; Collections; Stationarity; Convergence
- 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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