A nonsmooth Robinson's inverse function theorem in Banach spaces

DOI10.1007/s10107-015-0877-2zbMath1337.49022OpenAlexW2063141400MaRDI QIDQ263194

Radek Cibulka, Asen L. Dontchev

Publication date: 4 April 2016

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-015-0877-2

zbMATH Keywords

set-valued mappingsstrong metric regularityClarke's inverse function theoremgeneralized equationRobinson's inverse function theoremstrict pre-derivative

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (6)

Lyusternik--Graves Theorems for the Sum of a Lipschitz Function and a Set-valued Mapping ⋮ Strong metric subregularity of mappings in variational analysis and optimization ⋮ Unnamed Item ⋮ On uniform regularity and strong regularity ⋮ Estimation of the modulus of Hölder metric regularity ⋮ Unnamed Item

Cites Work

• Strongly regular nonsmooth generalized equations
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• Linear selections for set-valued functions and extension of bilinear forms
• Nonsmooth equations in optimization. Regularity, calculus, methods and applications
• Inverse and implicit function theorems for nonsmooth maps in Banach spaces
• Lagrange Multiplier Approach to Variational Problems and Applications
• Optimization and nonsmooth analysis
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Strongly Regular Generalized Equations
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• Implicit Functions and Solution Mappings
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