Geodesic
A survey on error bounds for lower semicontinuous functions
D. Azé1
1 UMR CNRS MIP, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex, France.
ESAIM. Proceedings, Tome 13 (2003), pp. 1-17 Cet article a éte moissonné depuis la source EDP Sciences

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We survey ancient and recent results on global error bounds for the distance to a sublevel set of a lower semicontinuous function defined on a complete metric space. We emphasize the case of a recent characterization of this property which appeared in [CITE]. We also review the convex case and show how the known result on sufficient condition for a global error bound can be derived from the quoted characterization.

DOI : 10.1051/proc:2003004

D. Azé 1

1 UMR CNRS MIP, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex, France. 
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     author = {D. Az\'e},
     title = {A survey on error bounds for lower semicontinuous functions},
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     doi = {10.1051/proc:2003004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2003004/}
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D. Azé. A survey on error bounds for lower semicontinuous functions. ESAIM. Proceedings, Tome 13 (2003), pp. 1-17. doi: 10.1051/proc:2003004

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