On the theory of subdifferentials
DOI10.1515/ana-2011-0003zbMath1277.49019OpenAlexW2312877741MaRDI QIDQ2867303
Publication date: 11 December 2013
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/fa7a44a22e15c2df6622b180a1e5fcfecf74d083
normal coneBanach spacecoderivativeseparable spacelimiting subdifferentialstrustworthinessseparable reductionsubdifferential calculus\(G\)-subdifferentialmetric modification
Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Set-valued and function-space-valued mappings on manifolds (58C06) Calculus of functions on infinite-dimensional spaces (26E15)
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Cites Work
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- Links between directional derivatives through multidirectional mean value inequalities
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- On the equivalence of some basic principles in variational analysis
- Integration of subdifferentials of lower semicontinuous functions on Banach spaces
- Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
- Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics
- Subdifferentials, Local ε-Supports and Asplund Spaces
- A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
- Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
- Generalized Gradients and Applications
- Directionally Lipschitzian Functions and Subdifferential Calculus
- Mean Value Inequalities
- Chain rules for coderivatives of multivalued mappings in Banach spaces
- Extensions Of Subdifferential Calculus Rules in Banach Spaces
- Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity
- Nonsmooth sequential analysis in Asplund spaces