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Book Sections Year : 2013

On derivative criteria for metric regularity

Asen L. Dontchev
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Hélène Frankowska
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We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper than previously known criterion for strong metric regularity involving the paratingent derivative.

Dates and versions

hal-00877145 , version 1 (26-10-2013)



Asen L. Dontchev, Hélène Frankowska. On derivative criteria for metric regularity. Bailey, D.H.; Bauschke, H.H.; Borwein, P.; Garvan, F.; Théra, M.; Vanderwerff, J.; Wolkowicz, H. Computational and Analytical Mathematics, 50, Springer-Verlag, pp.361-370, 2013, Springer Proceedings in Mathematics & Statistics, 978-1-4614-7621-4. ⟨10.1007/978-1-4614-7621-4_16⟩. ⟨hal-00877145⟩
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