3 papers
math.FA2017
Inversion of nonsmooth maps between Banach spaces
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…
math.FA2013
Global inversion of nonsmooth mappings using pseudo-Jacobian matrices
Jesús A. Jaramillo, Oscar Madiedo, Luis Sánchez-González
We study the global inversion of a continuous nonsmooth mapping , which may be non-locally Lipschitz. To this end, we use the notion of ps…
math.FA2012
Global inversion of nonsmooth mappings on Finsler manifolds
Jesus A. Jaramillo, Oscar Madiedo, Luis Sanchez-Gonzalez
We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the no…