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Nonconvex differential calculus for infinite-dimensional multifunctions

https://doi.org/10.1007/bf00419366

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What this work says

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

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Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings

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Real and Functional Analysis

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The Maximum Principle in Optimal Control of Systems Governed by Semilinear Equations

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Mathematical Analysis and Applications

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Convex Functions, Monotone Operators and Differentiability

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Properties of generalized differentials

inferredcites →https://doi.org/10.1007/bf01789411openalex-snapshot

Subdifferentials of compactly lipschitzian vector-valued functions

inferredcites →https://doi.org/10.1007/bfb0089089openalex-snapshot

Convex Functions, Monotone Operators and Differentiability

inferredcites →https://doi.org/10.1016/0021-8928(76)90136-2openalex-snapshot

Maximum principle in the problem of time optimal response with nonsmooth constraints

inferredcites →https://doi.org/10.1016/0022-247x(88)90034-0openalex-snapshot

Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

inferredcites →https://doi.org/10.1016/0362-546x(85)90024-0openalex-snapshot

Lipschitzian properties of multifunctions

inferredcites →https://doi.org/10.1016/0362-546x(85)90095-1openalex-snapshot

Tangential approximations

inferredcites →https://doi.org/10.1016/0362-546x(87)90008-3openalex-snapshot

Epi-Lipschitz-like sets in Banach space: theorems and examples

inferredcites →https://doi.org/10.1016/0362-546x(89)90083-7openalex-snapshot

Metric regularity, openness and Lipschitzian behavior of multifunctions

inferredcites →https://doi.org/10.1016/0362-546x(94)00256-hopenalex-snapshot

Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces

inferredcites →https://doi.org/10.1016/s0294-1449(16)30401-2openalex-snapshot

Maximal monotone relations and the second derivatives of nonsmooth functions

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Proto-Differentiability of Set-Valued Mappings and its Applications in Optimization

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A note on Fréchet and approximate subdifferentials of composite functions

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A Note on Inverse Function Theorems

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Extremal characterizations of asplund spaces

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Generic Fréchet-differentiability and perturbed optimization problems in Banach spaces

inferredcites →https://doi.org/10.1090/s0002-9947-1984-0719677-1openalex-snapshot

Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory

inferredcites →https://doi.org/10.1090/s0002-9947-1993-1156300-4openalex-snapshot

Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions

inferredcites →https://doi.org/10.1090/s0002-9947-1994-1242786-4openalex-snapshot

Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis

inferredcites →https://doi.org/10.1090/s0002-9947-1995-1290719-8openalex-snapshot

Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces

inferredcites →https://doi.org/10.1090/s0002-9947-96-01543-7openalex-snapshot

Nonsmooth sequential analysis in Asplund spaces

inferredcites →https://doi.org/10.1112/jlms/s2-41.1.175openalex-snapshot

Proximal Analysis and Approximate Subdifferentials

inferredcites →https://doi.org/10.1112/s0025579300013541openalex-snapshot

Approximate subdifferentials and applications 3: the metric theory

inferredcites →https://doi.org/10.1112/s0025579300013930openalex-snapshot

Approximate subdifferentials and applications II

inferredcites →https://doi.org/10.1137/0329056openalex-snapshot

On Subdifferentials of Optimal Value Functions

inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot

Optimization and Nonsmooth Analysis

inferredcites →https://doi.org/10.1137/s0363012993245665openalex-snapshot

Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions

inferredcites →https://doi.org/10.1137/s0363012994275932openalex-snapshot

New Necessary Conditions for the Generalized Problem of Bolza

inferredcites →https://doi.org/10.1137/s0363012994278171openalex-snapshot

Stablity of Set-Valued Mappings In Infinite Dimensions: Point Criteria and Applications

inferredcites →https://doi.org/10.1137/s1052623495284029openalex-snapshot

Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets

inferredcites →https://doi.org/10.1287/moor.9.1.87openalex-snapshot

Lipschitz Behavior of Solutions to Convex Minimization Problems

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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Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings

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An Abstract Extremal Principle with Applications to Welfare Economics

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Extensions of Fréchet ϵ-Subdifferential Calculus and Applications

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Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions

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Sensitivity Analysis for Variational Systems

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Necessary Optimality Conditions for Control of Strongly Monotone Variational Inequalities

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On Limiting Fréchet ε-Subdifferentials

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Metric and Topological Tools

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Elementary and Viscosity Subdifferentials

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Circa-Subdifferentials, Clarke Subdifferentials

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Limiting Subdifferentials

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Graded Subdifferentials, Ioffe Subdifferentials

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The Extremal Principle and its Applications to Optimization and Economics

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Well-Posedness and Coderivative Calculus

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The Fermat Rule and Lagrange Multiplier Rule for Various Efficient Solutions of Set-Valued Optimization Problems Expressed in Terms of Coderivatives

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A nonconvex separation property in Banach spaces

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Cooperative behavior of functions, relations and sets

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The Fermat rule for multifunctions on Banach spaces

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A nonconvex separation property and some applications

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On Optimality Conditions for Some Nonsmooth Optimization Problems over Lp Spaces

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Coderivatives of the generalized perturbation maps

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Generalized Jacobian for Functions with Infinite Dimensional Range and Domain

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Representations of Affine Multifunctions by Affine Selections

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On Metric and Calmness Qualification Conditions in Subdifferential Calculus

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Codifferential Calculus

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Sequential normal compactness versus topological normal compactness in variational analysis

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Fuzzy calculus for coderivatives of multifunctions

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The Equivalence of Several Basic Theorems for Subdifferentials

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Compactness Properties, Openness Criteria and Coderivatives

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Nonsmooth Characterizations of Asplund Spaces and Smooth Variational Principles

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Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces

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