Error bounds for systems of lower semicontinuous functions in Asplund spaces |
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| Authors: | Huynh van Ngai Michel Théra |
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| Affiliation: | 1. Ecole Normale Supérieure de Quinhon, Quinhon, Vietnam
2. Laboratoire XLIM, UMR-CNRS 6172, Université de Limoges, Limoges, France
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| Abstract: | In this paper, using the Fréchet subdifferential, we derive several sufficient conditions ensuring an error bound for inequality systems in Asplund spaces. As an application we obtain in the context of Banach spaces a global error bound for quadratic nonconvex inequalities and we derive necessary optimality conditions for optimization problems. |
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