Non-linear operators and differentiability of Lipschitz functions

DOI10.1007/s11228-023-00669-0OpenAlexW3204462366MaRDI QIDQ2687740

Mohammed Bachir, Sebastián Tapia-García

Publication date: 7 March 2023

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

Full work available at URL: https://arxiv.org/abs/2110.00099

zbMATH Keywords

weakly compact operatorslinear operatorsbornologycompletely continuous operatorsdifferentiability of Lipschitz functionsnon-linear operators

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Lipschitz (Hölder) classes (26A16) Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On lineability of sets of continuous functions
• On Banach spaces with the Gelfand-Phillips property
• Characterizations of Banach spaces via convex and other locally Lipschitz functions
• Uniform quotient mappings of the plane
• Affine approximation of Lipschitz functions and nonlinear quotients
• Differentiability and convergence for compact nonlinear operators
• Lineability
• Lineability in sequence and function spaces
• Limited Operators and Strict Cosingularity
• On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
• On the Composition of Differentiable Functions
• Generalizations of Weakly Compact Operators
• ℱ-singular and G-cosingular operators
• Estimates for the number of solutions of operator equations
• Local and Asymptotic Approximations of Nonlinear Operators by (k 1 ,⋯, k N )-Homogeneous Operators
• Compact and limited operators

This page was built for publication: Non-linear operators and differentiability of Lipschitz functions