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Some New Characterizations of Intrinsic Transversality in Hilbert Spaces. / Nguyen, Thao; Bui, Hoa T.; Nguyen, Duy Cuong; Verhaegen, Michel.

In: Set-Valued and Variational Analysis, Vol. 28, No. 1, 2020, p. 5-39.

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Nguyen, T, Bui, HT, Nguyen, DC & Verhaegen, M 2020, 'Some New Characterizations of Intrinsic Transversality in Hilbert Spaces', Set-Valued and Variational Analysis, vol. 28, no. 1, pp. 5-39. https://doi.org/10.1007/s11228-020-00531-7

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Author

Nguyen, Thao ; Bui, Hoa T. ; Nguyen, Duy Cuong ; Verhaegen, Michel. / Some New Characterizations of Intrinsic Transversality in Hilbert Spaces. In: Set-Valued and Variational Analysis. 2020 ; Vol. 28, No. 1. pp. 5-39.

BibTeX

@article{fd3956c3ff2345c1878d72b717b86adf,
title = "Some New Characterizations of Intrinsic Transversality in Hilbert Spaces",
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.",
keywords = "Transversality, Subtransversality, Intrinsic transversality, Normal cone, Relative normal cone",
author = "Thao Nguyen and Bui, {Hoa T.} and Nguyen, {Duy Cuong} and Michel Verhaegen",
year = "2020",
doi = "10.1007/s11228-020-00531-7",
language = "English",
volume = "28",
pages = "5--39",
journal = "Set-Valued and Variational Analysis",
issn = "1877-0533",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Some New Characterizations of Intrinsic Transversality in Hilbert Spaces

AU - Nguyen, Thao

AU - Bui, Hoa T.

AU - Nguyen, Duy Cuong

AU - Verhaegen, Michel

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Transversality

KW - Subtransversality

KW - Intrinsic transversality

KW - Normal cone

KW - Relative normal cone

UR - http://www.scopus.com/inward/record.url?scp=85079479684&partnerID=8YFLogxK

U2 - 10.1007/s11228-020-00531-7

DO - 10.1007/s11228-020-00531-7

M3 - Article

VL - 28

SP - 5

EP - 39

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

SN - 1877-0533

IS - 1

ER -

ID: 69796382