Inversion of nonsmooth maps between Banach spaces

DOI10.1007/s11228-018-0499-yzbMath1433.49021arXiv1712.00565OpenAlexW2963427965MaRDI QIDQ2281268

Sebastián Lajara, Jesús Angel Jaramillo, Óscar Madiedo

Publication date: 19 December 2019

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00565

zbMATH Keywords

nonsmooth analysisglobal invertibilitypseudo-JacobianHadamard integral condition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Continuous selections for inverse mappings in Banach spaces ⋮ Metric regularity, pseudo-Jacobians and global inversion theorems on Finsler manifolds ⋮ Nonlocal generalized implicit function theorems in Hilbert spaces ⋮ Around Efimov's differential test for homeomorphism ⋮ Global and semilocal theorems on implicit and inverse functions in Banach spaces ⋮ Global inversion for metrically regular mappings between Banach spaces ⋮ On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces

Cites Work

• Unnamed Item
• Unnamed Item
• An inverse function theorem in Fréchet spaces
• Convex functions, monotone operators and differentiability.
• Global homeomorphisms and covering projections on metric spaces
• Global inversion and covering maps on length spaces
• Global invertibility of nonsmooth mappings
• Hadamard's theorem for locally Lipschitzian maps
• On the inverse function theorem
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• An open mapping theorem using unbounded generalized Jacobians
• Chain rules for approximate Jacobians of continuous functions
• On global inverse theorems
• Nonsmooth vector functions and continuous optimization
• Generalized Jacobian for functions with infinite dimensional range and domain
• Global inversion of nonsmooth mappings using pseudo-Jacobian matrices
• Banach space theory. The basis for linear and nonlinear analysis
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• On generalized differentials and subdifferentials of Lipschitz vector-valued functions
• Homeomorphisms Between Banach Spaces
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• A Weak Hadamard Smooth Renorming of L₁(Ω, μ)
• Global inversion of nonsmooth mappings on Finsler manifolds
• On quasi‐isometric mappings, I
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces

This page was built for publication: Inversion of nonsmooth maps between Banach spaces