On ranges of set-valued mappings

DOI10.1016/j.jmaa.2022.126381zbMath1493.58004OpenAlexW4281675630MaRDI QIDQ2154423

Radek Cibulka, Tomáš Roubal

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126381

zbMATH Keywords

Banach spaceperturbation stabilitypseudo-JacobianFrechet spacessemiregularityClarke JacobianPáles-Zeidan Jacobian

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strongly regular nonsmooth generalized equations
• Enhanced metric regularity and Lipschitzian properties of variational systems
• Openness stability and implicit multifunction theorems: applications to variational systems
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• About stationarity and regularity in variational analysis
• On the inverse function theorem
• Analysis and optimization of Lipschitz continuous mappings
• A minimal set-valued strong derivative for vector-valued Lipschitz functions
• Local analysis of Newton-type methods for variational inequalities and nonlinear programming
• An inverse mapping theorem in Fréchet-Montel spaces
• Quantitative characterizations of regularity properties of collections of sets
• Infinite dimensional generalized Jacobian: properties and calculus rules
• Nonsmooth vector functions and continuous optimization
• On semiregularity of mappings
• Banach space theory. The basis for linear and nonlinear analysis
• On ranges of non-linear operators
• Optimization and nonsmooth analysis
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Strongly Regular Generalized Equations
• An Inverse-Function Theorem for a Class of Multivalued Functions
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Variational Analysis of Regular Mappings
• Lyusternik--Graves Theorems for the Sum of a Lipschitz Function and a Set-valued Mapping
• Directional Stability Theorem and Directional Metric Regularity
• Implicit Functions and Solution Mappings
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• On primal regularity estimates for set-valued mappings