Subdifferential Conditions for Calmness of Convex Constraints

Abstract

We study subdifferential conditions of the calmness property for multifunctions representing convex constraint systems in a Banach space. Extending earlier work in finite dimensions [R. Henrion and J. Outrata, J. Math. Anal. Appl., 258 (2001), pp. 110–130], we show that, in contrast to the stronger Aubin property of a multifunction (or metric regularity of… (More)
DOI: 10.1137/S1052623401386071

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Cite this paper

@article{Henrion2002SubdifferentialCF, title={Subdifferential Conditions for Calmness of Convex Constraints}, author={Ren{\'e} Henrion and Abderrahim Jourani}, journal={SIAM Journal on Optimization}, year={2002}, volume={13}, pages={520-534} }