Nonlinear error bounds for lower semicontinuous functions on metric spaces |
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Authors: | Jean-No?l Corvellec and Viorica V Motreanu |
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Institution: | (1) Laboratoire MANO, Université de Perpignan Via Domitia, 52 avenue Paul Alduy, 66860 Perpignan cedex, France |
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Abstract: | As a development of the theory of linear error bounds for lower semicontinuous functions defined on complete metric spaces,
introduced in Azé et al. (Nonlinear Anal 49, 643–670, 2002) and refined in Azé and Corvellec (ESAIM Control Optim Calc Var 10, 409–425, 2004), we propose a similar approach to nonlinear error bounds, based on the notion of strong slope, the variational
principle, and the change-of-metric principle, the latter allowing to obtain sharp estimates for such error bounds through
a reduction to the linear case. |
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Keywords: | 49J52 90C30 90C25 |
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