Geodesic
Bounded convergence of convex composed functions
M. Laghdir1 ; R. Benabbou1 ; N. Benkenza1
1Département 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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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

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