- Title
- About subtransversality of collections of sets
- Creator
- Kruger, Alexander; Luke, Russell; Thao, Nguyen
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/165176
- Identifier
- vital:13236
- Identifier
-
https://doi.org/10.1007/s11228-017-0436-5
- Identifier
- ISBN:1877-0533
- Abstract
- We provide dual sufficient conditions for subtransversality of collections of sets in an Asplund space setting. For the convex case, we formulate a necessary and sufficient dual criterion of subtransversality in general Banach spaces. Our more general results suggest an intermediate notion of subtransversality, what we call weak intrinsic subtransversality, which lies between intrinsic transversality and subtransversality in Asplund spaces.
- Publisher
- Springer Netherlands
- Relation
- Set-Valued and Variational Analysis Vol. 25, no. 4 (2017), p. 701-729; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2017, Springer Science+Business Media B.V.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Alternating projections; Error bound; Intrinsic transversality; Linear convergence; Metric regularity; Metric subregularity; Normal cone; Subtransversality; Transverslity
- Full Text
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