BOUNDED CONVERGENCE OF CONVEX COMPOSED FUNCTIONS

Rencontres Franco-Marocaines en Approximation et Optimisation 2005

M. Laghdir ; R. Benabbou ; N. Benkenza

Others  :  http://www.esaim-proc.org/articles/proc/pdf/2007/04/proc072015.pdf
PID  :  49726

来源: CEUR

【 摘 要 】

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.