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- W2951776989 abstract "We study the global inversion of a continuous nonsmooth mapping $f: mathbb{R}^n rightarrow mathbb{R}^n$, which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f, introduced by Jeyakumar and Luc, and we consider a related index of regularity for f. We obtain a characterization of global inversion in terms of its index of regularity. Furthermore, we prove that the Hadamard integral condition has a natural counterpart in this setting, providing a sufficient condition for global invertibility." @default.
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- W2951776989 date "2013-11-12" @default.
- W2951776989 modified "2023-10-01" @default.
- W2951776989 title "Global inversion of nonsmooth mappings using pseudo-Jacobian matrices" @default.
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