Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials

We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using metric regularity of infinite-dimensional set-valued mappings. A main ingredient is an explicit pointwise characterization of the regular code...

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Bibliographic Details
Published in:	Set-valued and variational analysis Vol. 25; no. 1; pp. 69 - 112
Main Authors:	Clason, Christian, Valkonen, Tuomo
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.03.2017 Springer Nature B.V
Subjects:	Analysis Economic models Elliptic differential equations Functionals Hilbert space Mathematics Mathematics and Statistics Optimization Parameter identification Partial differential equations Saddle points Stability criteria 90C31 49J53 49K40 Saddle points Fréchet coderivatives Aubin property Metric regularity Integral functionals
ISSN:	1877-0533, 1877-0541
Online Access:	Get full text
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