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A Fritz John optimality condition using the approximate subdifferential

https://doi.org/10.1007/bf02191853

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What this work says

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

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Sequences and Series in Banach Spaces

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Geometric Functional Analysis and its Applications

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Mathematical Programming and Control Theory

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Generalized differentials of nonsmooth functions, and necessary conditions for an extremum

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On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints

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

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On the variational principle

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Subdifferentials of nonconvex vector-valued functions

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Locally compactly Lipschitzian mappings in infinite dimensional programming

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The approximate subdifferential of composite functions

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Lagrange multiplers for pareto nonsmooth programming problems in banach spaces

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Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory

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Transactions of the American Mathematical Society

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Proximal Analysis and Approximate Subdifferentials

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Approximate subdifferentials and applications 3: the metric theory

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Approximate subdifferentials and applications II

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An Exact Penalization Viewpoint of Constrained Optimization

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Lagrange Multipliers in Stochastic Programming

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Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems

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Optimization and Nonsmooth Analysis

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Approximations and Metric Regularity in Mathematical Programming in Banach Space

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The variational principle

What points at this work

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

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Topological Properties of the Approximate Subdifferential

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Extensions of Fréchet ϵ-Subdifferential Calculus and Applications

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Topological characterization of the approximate subdifferential in the finite-dimensional case

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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems

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Lagrange Multipliers for Multiobjective Programs with a General Preference

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Optimality Conditions for Nonsmooth Equilibrium Problems via Hadamard Directional Derivative

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Some non-smooth optimality results for optimization problems with vanishing constraints via Dini–Hadamard derivative

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Epsilon-subdifferentiability for interval-valued functions and its application in interval optimization problems

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Metric regularity for strongly compactly Lipschitzian mappings

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On the functions with pseudoconvex sublevel sets and optimality conditions

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DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS

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A note on Fréchet and approximate subdifferentials of composite functions

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A generalized karush-kuhn-tucki optimality condition without constraint qualification using tl approximate subdifferential

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First order approximations to nonsmooth mappings with application to metric regularity

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An approach to vector subdifferentials

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Mathematical Programs with Geometric Constraints in Banach Spaces: Enhanced Optimality, Exact Penalty, and Sensitivity

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Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems

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Corrigendum: Lagrange Multipliers in Stochastic Programming

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Metric regularity under Gâteaux differentiability with applications to optimization and stochastic optimal control problems

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