- Title
- Some new characterizations of intrinsic transversality in hilbert spaces
- Creator
- Thao, Nguyen; Bui, Hoa; Cuong, Nguyen; Verhaegen, Michel
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/171776
- Identifier
- vital:14398
- Identifier
-
https://doi.org/10.1007/s11228-020-00531-7
- Identifier
- ISBN:0927-6947 (ISSN)
- Abstract
- Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in terms of normal vectors clarify the picture of intrinsic transversality, its variants and sufficient conditions for subtransversality, and unify several of them. For the first time, intrinsic transversality is characterized by an equivalent condition which does not involve normal vectors. This characterization offers another perspective on intrinsic transversality. As a consequence, the obtained results allow us to answer a number of important questions about transversality-type properties. © 2020, The Author(s).
- Publisher
- Springer
- Relation
- Set-Valued and Variational Analysis Vol. 28, no. 1 (2020), p. 5-39
- Rights
- http://creativecommons.org/licenses/by/4.0/.
- Rights
- Copyright © The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Intrinsic transversality; Normal cone; Relative normal cone; Subtransversality; Transversality
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