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Inversion of Nonsmooth Maps between Banach Spaces
Set-Valued and Variational Analysis ( IF 1.3 ) Pub Date : 2018-10-27 , DOI: 10.1007/s11228-018-0499-y
Jesús A. Jaramillo , Sebastián Lajara , Óscar Madiedo

We study the invertibility nonsmooth maps between infinite-dimensional Banach spaces. To this end, we introduce an analogue of the notion of pseudo-Jacobian matrix of Jeyakumar and Luc in this infinite-dimensional setting. Using this, we obtain several inversion results. In particular, we give a version of the classical Hadamard integral condition for global invertibility in this context.

中文翻译:

Banach空间之间非光滑贴图的反演

我们研究了无限维Banach空间之间的可逆非光滑映射。为此,我们在此无穷维设置中引入了Jeyakumar和Luc的伪Jacobi矩阵概念的类似物。使用此方法,我们获得了几个反演结果。特别是,在这种情况下,我们给出了经典Hadamard积分条件的一个版本,用于全局可逆性。
更新日期:2018-10-27
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