Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials-Reference-Cited by-同舟云学术

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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials

Published:2016-03-02 Issue:1 Volume:25 Page:69-112
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Clason Christian,Valkonen Tuomo

Funder

King Abdullah University of Science and Technology

Engineering and Physical Sciences Research Council

Prometeo scholarship

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11228-016-0366-7.pdf

Reference50 articles.

1. Attouch, H., Bolte, J., Svaiter, B.F.: Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss–Seidel methods. Math. Program. 137(1–2), 91–129 (2013). doi: 10.1007/s10107-011-0484-9

2. Aubin, J., Frankowska, H.: Set-Valued Analysis. Modern Birkhäuser Classics. Birkhäuser, Boston (2009). doi: 10.1007/978-0-8176-4848-0 . Reprint of the 1990 edition

3. Bauschke, H.H., Combettes, P.L.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Springer, New York (2011). doi: 10.1007/978-1-4419-9467-7

4. Bolte, J., Daniilidis, A., Ley, O., Mazet, L.: Characterizations of Lojasiewicz inequalities: subgradient flows, talweg, convexity. Trans. Am. Math. Soc. 362(6), 3319–3363 (2010). doi: 10.1090/S0002-9947-09-05048-X

5. Bonnans, J.F., Shapiro, A.: Perturbation analysis of optimization problems. Springer series in operations research. Springer, New York. doi: 10.1007/978-1-4612-1394-9 (2000)

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