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Generalized derivatives and nonsmooth optimization, a finite dimensional tour
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Practical Methods of Optimization
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Subdifferential Calculus Using ϵ-Subdifferentials
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Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings
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Proximal Analysis and Minimization Principles
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Generalized Convexity and Generalized Derivatives
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Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis
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Continuity and Differentiability of Quasiconvex Functions
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Techniques of Variational Analysis
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Introductory Lectures on Convex Optimization
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Perturbation Analysis of Optimization Problems
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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
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Exhausters and Convexificators — New Tools in Nonsmooth Analysis
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Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Convex analysis and nonlinear optimization : theory and examples
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Minimization Methods for Non-Differentiable Functions
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Convex analysis and minimization algorithms
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Nondifferentiable Optimization: Motivations and Applications
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Asymptotic Cones and Functions in Optimization and Variational Inequalities
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Generalized Hessian matrix and second-order optimality conditions for problems withC 1,1 data
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Approximation and decomposition properties of some classes of locally D.C. functions
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Directional derivative estimates for the optimal value function of a quasidifferentiable programming problem
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Optimality conditions in differentiable vector optimization via second-order tangent sets
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Convex Functions, Monotone Operators and Differentiability
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A method of conjugate subgradients for minimizing nondifferentiable functions
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Optimality Conditions in Differentiable Vector Optimization via Second-Order Tangent Sets
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Coderivatives in parametric optimization
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Generalized K-T conditions and penalty functions for quasidifferentiable programming
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Maximum principle in the problem of time optimal response with nonsmooth constraints
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A simple characterization of solution sets of convex programs
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Characterization of solution sets of convex programs
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On various notions of regularity of sets in nonsmooth analysis
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A survey of subdifferential calculus with applications
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A survey of subdifferential calculus with applications
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Mathematical Programs with Equilibrium Constraints
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Demyanov Difference of Two Sets and Optimality Conditions of Lagrange Multiplier Type for Constrained Quasidifferentiable Optimization
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Hunting for a Smaller Convex Subdifferential
inferredcites →https://doi.org/10.1023/a:1014853129484openalex-snapshot
Convexifactors, Generalized Convexity, and Optimality Conditions
inferredcites →https://doi.org/10.1023/a:1016083601322openalex-snapshot
Pseudonormality and a Lagrange Multiplier Theory for Constrained Optimization
inferredcites →https://doi.org/10.1023/a:1021154101946openalex-snapshot
The Rise of Nonsmooth Analysis: Its Main Tools
inferredcites →https://doi.org/10.1023/a:1021790120780openalex-snapshot
Nonsmooth Calculus, Minimality, and Monotonicity of Convexificators
inferredcites →https://doi.org/10.1023/a:1022114319999openalex-snapshot
Optimality Conditions for C 1,1 Constrained Multiobjective Problems
inferredcites →https://doi.org/10.1023/b:jota.0000043992.38554.c8openalex-snapshot
Lagrange Multiplier Conditions Characterizing the Optimal Solution Sets of Cone-Constrained Convex Programs
inferredcites →https://doi.org/10.1080/0233193021000015613openalex-snapshot
Quasi-Multiplier Rules for Quasidifferentiable Extremum Problems
inferredcites →https://doi.org/10.1080/02331930410001661505openalex-snapshot
Convexifactors, generalized convexity and vector optimization
inferredcites →https://doi.org/10.1080/02331930500100213openalex-snapshot
Optimality conditions for maximizing a locally Lipschitz function
inferredcites →https://doi.org/10.1080/02331938608843097openalex-snapshot
Nondifferentiable optimization by smooth approximations
inferredcites →https://doi.org/10.1080/02331939108843709openalex-snapshot
A constraint qualification in quasidifferentiable programming
inferredcites →https://doi.org/10.1080/02331939208843757openalex-snapshot
Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
inferredcites →https://doi.org/10.1080/1055678042000218966openalex-snapshot
Equilibrium problems with equilibrium constraints via multiobjective optimization
inferredcites →https://doi.org/10.1090/crmp/002openalex-snapshot
Optimal Control via Nonsmooth Analysis
inferredcites →https://doi.org/10.1090/s0002-9939-1994-1212282-4openalex-snapshot
Mean Value Inequalities
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Generalized Gradients and Applications
inferredcites →https://doi.org/10.1090/s0002-9947-1981-0613784-7openalex-snapshot
Nonsmooth analysis: differential calculus of nondifferentiable mappings
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/s0002-9947-1994-1227093-8openalex-snapshot
Mean Value Inequalities in Hilbert Space
inferredcites →https://doi.org/10.1090/s0002-9947-96-01543-7openalex-snapshot
Nonsmooth sequential analysis in Asplund spaces
inferredcites →https://doi.org/10.1090/s0025-5718-03-01659-4openalex-snapshot
Book Review: A mathematical view of interior-point methods in convex optimization
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A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
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Transactions of the American Mathematical Society
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Approximate subdifferentials and applications 3: the metric theory
inferredcites →https://doi.org/10.1112/s0025579300013930openalex-snapshot
Approximate subdifferentials and applications II
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Semismooth and Semiconvex Functions in Constrained Optimization
inferredcites →https://doi.org/10.1137/0322037openalex-snapshot
On Optimality Conditions in Quasidifferentiable Optimization
inferredcites →https://doi.org/10.1137/0328045openalex-snapshot
A Generalized Second-Order Derivative in Nonsmooth Optimization
inferredcites →https://doi.org/10.1137/0803021openalex-snapshot
Nonsmooth Equations: Motivation and Algorithms
inferredcites →https://doi.org/10.1137/1.9780898718812openalex-snapshot
A Mathematical View of Interior-Point Methods in Convex Optimization
inferredcites →https://doi.org/10.1137/1.9780898718829openalex-snapshot
Lectures on Modern Convex Optimization
inferredcites →https://doi.org/10.1137/1.9781611970791openalex-snapshot
Interior-Point Polynomial Algorithms in Convex Programming
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Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/s0363012999358476openalex-snapshot
Multiplier Rules Under Mixed Assumptions of Differentiability and Lipschitz Continuity
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Ample Parameterization of Variational Inclusions
inferredcites →https://doi.org/10.1137/s1052623400371399openalex-snapshot
An Appropriate Subdifferential for Quasiconvex Functions
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On Second-Order Subdifferentials and Their Applications
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New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs
inferredcites →https://doi.org/10.1137/s1052623403424193openalex-snapshot
Nondifferentiable Multiplier Rules for Optimization and Bilevel Optimization Problems
inferredcites →https://doi.org/10.1287/moor.18.1.227openalex-snapshot
Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
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An Algorithm for Constrained Optimization with Semismooth Functions
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Approximating Subdifferentials by Random Sampling of Gradients
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Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
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A Calculus of EPI-Derivatives Applicable to Optimization
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A generalized derivative for calm and stable functions
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A Note on the Characterization of the Global Maxima of a (Tangentially) Convex Function Over a Convex Set
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Future Challenges for Variational Analysis
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Elements of Convex Analysis
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Elementary and Viscosity Subdifferentials
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Circa-Subdifferentials, Clarke Subdifferentials
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Desirability Functions in Multiresponse Optimization
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Strong KKT, Second Order Conditions and Non-solid Cones in Vector Optimization
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The Limiting Subdifferential and Its Role in Optimization
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Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
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The augmented Lagrangian method for a type of inverse quadratic programming problems over second-order cones
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Smoothing approach for a class of nonsmooth optimal control problems
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Optimal synchronization of non-smooth fractional order chaotic systems with uncertainty based on extension of a numerical approach in fractional optimal control problems
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On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator
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Improved enhanced Fritz John condition and constraints qualifications using convexificators
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Approximate optimality conditions for minimax programming problems
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Nonconvex optimization of desirability functions
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Representation of the Feasible Set and KKT Conditions
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Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
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On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator
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