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Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Espaces vectoriels topologiques
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Geometrical Methods of Nonlinear Analysis
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Analysis and optimization of Lipschitz continuous mappings
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Subdifferentials of compactly lipschitzian vector-valued functions
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On the variational principle
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A general theory of necessary optimality conditions
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On bounding, interior and covering functions
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Theory of Extremal Problems
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Subdifferentials of convex functions
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The Hahn-Banach Extension and the Least Upper Bound Properties are Equivalent
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A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties
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Continuous Selections with Nonmetrizable Range
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Generalized Gradients and Applications
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0531969-6openalex-snapshot
Regular Points of Lipschitz Functions
inferredcites →https://doi.org/10.1090/s0273-0979-1979-14595-6openalex-snapshot
Nonconvex minimization problems
inferredcites →https://doi.org/10.1111/j.1749-6632.1980.tb18010.xopenalex-snapshot
ON FOUNDATIONS OF CONVEX ANALYSIS
inferredcites →https://doi.org/10.1137/0316055openalex-snapshot
Controllability and a Multiplier Rule for Nondifferentiable Optimization Problems
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A New Approach to Lagrange Multipliers
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Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
inferredcites →https://doi.org/10.1287/moor.9.2.159openalex-snapshot
Necessary Conditions in Nonsmooth Optimization
inferredcites →https://doi.org/10.15688/jvolsu1.2016.4.4openalex-snapshot
On the Implicit Function Theorem for Lipschitz Mappings
inferredcites →https://doi.org/10.2140/pjm.1976.64.97openalex-snapshot
On the inverse function theorem
inferredcites →https://doi.org/10.2307/1969615openalex-snapshot
Continuous Selections. I
inferredcites →https://doi.org/10.2307/1970554openalex-snapshot
The Structure of Weakly Compact Sets in Banach Spaces
inferredcites →https://doi.org/10.2307/1990536openalex-snapshot
A Theorem of the Hahn-Banach Type for Linear Transformations
inferredcites →https://doi.org/10.4153/cjm-1980-020-7openalex-snapshot
Generalized Directional Derivatives and Subgradients of Nonconvex Functions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Differentiability of Set‐Valued Maps in Banach Spaces
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A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions
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Introduction to Image Space Analysis
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On Abstract Control Problems with Non-Smooth Data
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Nondifferentiable Optimization: Motivations and Applications
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On stability and newton-type methods for lipschitzian equations with applications to optimization problems
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Nonsmoothness and quasidifferentiability
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A directional implicit function theorem for quasidifferentiable functions
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Subdifferential analysis of differential inclusions via discretization
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THE HAHN-BANACH EXTENSION PROPERTY
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On the Hahn-Banach Extension Property
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The radius of metric regularity
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Tangent Cones and Quasi-Interiorly Tangent Cones to Multifunctions
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Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
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On Pseudo-Differentiability
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Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
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Nonsmooth sequential analysis in Asplund spaces
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Book Review: Applied nonlinear analysis
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Book Review: Completely bounded maps and dilations
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Convex analysis and subdifferential methos in electromagnetics
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Global Surjection and Global Inverse Mapping Theorems in Banach Spaces
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Nonsmooth analysis and optimization on partially ordered vector spaces
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Eigenvalue stability for multivalued operators
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Nonsmooth analysis on partially ordered vector spaces. II. Nonconvex case, Clarke’s theory
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Generalized Hukuhara Dini Hadamard $\epsilon$-subdifferential and $H_{\epsilon}$-subgradient and their applications in interval optimization
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Метрическая регулярность и субдифференциальное исчисление
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A generalized derivative for calm and stable functions
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Approximate Solutions of Nonsmooth Systems via Generalized Euler-Lagrange and Hamiltonian Equations
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