Geodesic
Bounded convergence of convex composed functions
M. Laghdir1 ; R. Benabbou1 ; N. Benkenza1
1 Département de Mathématiques et Informatique, Faculté des Sciences. B.P 20, El-Jadida, Maroc
ESAIM. Proceedings, Tome 20 (2007), pp. 157-169.

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In this paper we establish conditions that guarantee, in the setting of normed vector spaces, the bounded convergence (also called Attouch-Wets convergence) of convex composed functions. We also provide applications to the convergence of multipliers of families of constrained convex optimization and to the continuity of inf-convolution and level sum operations.
DOI : 10.1051/proc:072015

M. Laghdir 1 ; R. Benabbou 1 ; N. Benkenza 1

1 Département de Mathématiques et Informatique, Faculté des Sciences. B.P 20, El-Jadida, Maroc 
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     title = {Bounded convergence of convex composed functions},
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M. Laghdir; R. Benabbou; N. Benkenza. Bounded convergence of convex composed functions. ESAIM. Proceedings, Tome 20 (2007), pp. 157-169. doi : 10.1051/proc:072015. http://geodesic.mathdoc.fr/articles/10.1051/proc:072015/

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