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Operations on convergent families of sets and functions |
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| Abstract: | The lower limit of the images by a convex set-valued mapping of a family of convex sets is studied. Topological and metric results are given. Applications to variational convergence, in particular to epi-convergence of convex functions, are presented. |
| Keywords: | Kuratowski-Painlevé limits convex set-valued maps epieonvergence Hausdorff metric |