8 citations · 17 across the 4 of their papers we have counts for
4 papers
Metric regularity, pseudo-Jacobians and global inversion theorems on Finsler manifolds
Olivia Gutú, Jesús A. Jaramillo, Óscar Madiedo
Our aim in this paper is to study the global invertibility of a locally Lipschitz map between (possibly infinite-dimensional) Finsler manifolds, stressing the connectio…
Surjection and inversion for locally Lipschitz maps between Banach spaces
Olivia Gutú, Jesús A. Jaramillo
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider…
Chang Palais-Smale condition and global inversion
Olivia Gutú
Let f be local diffeomorphism between real Banach spaces. We prove that if the locally Lipschitz functional F(x)=1/2|f(x)-y|^2 satisfies the Chang Palais-Smale condition for all y…
On global inverse and implicit functions
Olivia Gutú
Since the Hadamard Theorem, several metric and topological conditions have emerged in the literature to date, yielding global inversion and implicit theorems for functions in diffe…