Sur quelques théorèmes d’inversion locale. (On some local inverse theorems). (French) Zbl 0855.54024
Summary: We give a new analysis of the local inverse problem, from which we get some general results and a simple direct proof of the classical local inverse function theorem. A new tangent cone is introduced.
MSC:
| 54C60 | Set-valued maps in general topology |
| 47J05 | Equations involving nonlinear operators (general) |
| 49J52 | Nonsmooth analysis |
| 58C06 | Set-valued and function-space-valued mappings on manifolds |
| 58C15 | Implicit function theorems; global Newton methods on manifolds |
