Some New Characterizations of Intrinsic Transversality in Hilbert Spaces
| Autor: | Michel Verhaegen, Nguyen Duy Cuong, Nguyen Hieu Thao, Hoa T. Bui |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Pure mathematics Property (philosophy) Transversality 0211 other engineering and technologies Subtransversality 010103 numerical & computational mathematics 02 engineering and technology Characterization (mathematics) 01 natural sciences symbols.namesake Perspective (geometry) Intrinsic transversality 0101 mathematics Nuclear Experiment Mathematics Numerical Analysis 021103 operations research Applied Mathematics Hilbert space Relative normal cone symbols Geometry and Topology Normal cone Analysis |
| Zdroj: | Set-Valued and Variational Analysis, 28(1) |
| ISSN: | 1877-0533 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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