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Regularity properties of open tangent cones

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Book cover Nonlinear Analysis and Optimization

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 30))

Abstract

We show the link between different concepts of (open) tangent cones and give characterizations of different regularity properties of these cones, including the lower semicontinuity of the open tangent cone set-valued mapping. This paper continues work done by the author on closed tangent cones.

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B. Cornet V. H. Nguyen J. P. Vial

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© 1987 The Mathematical Programming Society, Inc.

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Cornet, B. (1987). Regularity properties of open tangent cones. In: Cornet, B., Nguyen, V.H., Vial, J.P. (eds) Nonlinear Analysis and Optimization. Mathematical Programming Studies, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121152

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  • DOI: https://doi.org/10.1007/BFb0121152

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  • Print ISBN: 978-3-642-00930-3

  • Online ISBN: 978-3-642-00931-0

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