Criteria for the global invertibility of \(C^{1}\) functions between Banach spaces
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Publication:697528
DOI10.1016/S0362-546X(01)00818-5zbMath1033.47043MaRDI QIDQ697528
Hong-Xu Li, Ti-Jun Xiao, Jin Liang
Publication date: 17 September 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Derivatives of functions in infinite-dimensional spaces (46G05) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)
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Global inversion of nonsmooth mappings using pseudo-Jacobian matrices, Estimates for domains of local invertibility of diffeomorphisms
Cites Work
- Global invertibility of nonsmooth mappings
- Implicit function theorems, approximate solvability of nonlinear equations, and error estimates
- The solvability of non-linear functional equations
- Covering spaces, fibre spaces, and local homeomorphisms
- Global inversion theorems and applications to differential equations
- Global Invertibility of Expanding Maps
- Homeomorphisms Between Banach Spaces
- Nonlinear Fredholm Maps of Index Zero and Their Singularities
- A criterion of invertibility in the large for local diffeomorphisms between Banach spaces
- On global diffeomorphisms of euclidian space
- Diffeomorphisms with Banach space domains
- Global univalence and global inversion theorems in Banach spaces
- On quasi‐isometric mappings, I
- Local Mapping Relations and Global Implicit Function Theorems
- On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
- Über mehrdeutige stetige Abbildungen
- Local inversion theorems without assuming continuous differentiability
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