Add to ORKG19 pagesWe give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient conditions are formulated in terms of various properties (convexity, positivity of some principal minors, contractiblity) of the space of Jacobi's matrices at smooth points
The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an ap...
© 2017, Pleiades Publishing, Ltd.We prove several global univalence theorems for locally invertible ...
We derive new representations for the generalised Jacobian of a locally Lipschitz map between finite...
We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-loc...
AbstractA technical inverse function theorem of Nash-Moser type is proved for maps between Fréchet s...
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional...
This thesis contains two results. Firstly, we characterize locally convex spaces in which the theor...
AbstractWe extend the classical inverse and implicit function theorems, the implicit function theore...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
We prove several equivalent versions of the inverse function theorem: an inverse function theorem fo...
We establish the following converse of the well-known inverse function theorem. Let g:U→V and f:V→U ...
Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and th...
In this short note, we give a criterion for the injectivity of tame mappings. Thi
This survey of nonsmooth analysis sets out to prove an inverse function theorem for set-valued maps....
summary:In the first part of this paper, we prove that in a sense the class of bi-Lipschitz $\delta$...
The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an ap...
© 2017, Pleiades Publishing, Ltd.We prove several global univalence theorems for locally invertible ...
We derive new representations for the generalised Jacobian of a locally Lipschitz map between finite...
We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-loc...
AbstractA technical inverse function theorem of Nash-Moser type is proved for maps between Fréchet s...
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional...
This thesis contains two results. Firstly, we characterize locally convex spaces in which the theor...
AbstractWe extend the classical inverse and implicit function theorems, the implicit function theore...
We obtain a global inverse function theorem guaranteeing that if a smooth mapping of finite-dimensio...
We prove several equivalent versions of the inverse function theorem: an inverse function theorem fo...
We establish the following converse of the well-known inverse function theorem. Let g:U→V and f:V→U ...
Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and th...
In this short note, we give a criterion for the injectivity of tame mappings. Thi
This survey of nonsmooth analysis sets out to prove an inverse function theorem for set-valued maps....
summary:In the first part of this paper, we prove that in a sense the class of bi-Lipschitz $\delta$...
The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an ap...
© 2017, Pleiades Publishing, Ltd.We prove several global univalence theorems for locally invertible ...
We derive new representations for the generalised Jacobian of a locally Lipschitz map between finite...