Characterizing Convexity of a Function by Its Fréchet and Limiting Second-Order Subdifferentials-Reference-Cited by-同舟云学术

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Characterizing Convexity of a Function by Its Fréchet and Limiting Second-Order Subdifferentials

Published:2010-03-20 Issue:1 Volume:19 Page:75-96
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Anal

Author:

Chieu N. H.,Chuong T. D.,Yao J.-C.,Yen N. D.

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/s11228-010-0136-x.pdf

Reference28 articles.

1. Bednarik, D., Pastor, K.: On characterizations of convexity for regularly locally Lipschitz functions. Nonlinear Anal. 57, 85–97 (2004)

2. Bonnans, J.F., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer, New York (2000)

3. Cohn, D.L.: Measure Theory. Birkhäuser, Boston (1980)

4. Cominetti, R., Correa, R.: A generalized second-order derivative in nonsmooth optimization. SIAM J. Control Optim. 28, 789–809 (1990)

5. Dontchev, A.L., Rockafellar, R.T.: Characterizations of strong regularity for variational inequalities over polyhedral convex sets. SIAM J. Optim. 6, 1087–1105 (1996)

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