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Implicit function theorems for generalized equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On concepts of directional differentiability
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Sensitivity analysis for nonsmooth generalized equations
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Sensitivity analysis framework for variational inequalities
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Local structure of feasible sets in nonlinear programming, part I: Regularity
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Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
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Strong Derivatives and Inverse Mappings
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An Optimization Problem
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A Note on Inverse Function Theorems
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An Inverse Mapping Theorem for Set-Valued Maps
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Sensitivity Analysis of Solutions to Generalized Equations
inferredcites →https://doi.org/10.1137/0804006openalex-snapshot
Existence and Differentiability of Metric Projections in Hilbert Spaces
inferredcites →https://doi.org/10.1137/s0036139992230296openalex-snapshot
Sensitivity Analysis of Parametrized Programs via Generalized Equations
inferredcites →https://doi.org/10.1287/moor.15.2.311openalex-snapshot
Newton's Method for B-Differentiable Equations
inferredcites →https://doi.org/10.1287/moor.16.2.292openalex-snapshot
An Implicit-Function Theorem for a Class of Nonsmooth Functions
inferredcites →https://doi.org/10.1287/moor.19.3.753openalex-snapshot
Implicit Functions, Lipschitz Maps, and Stability in Optimization
inferredcites →https://doi.org/10.1287/moor.5.1.43openalex-snapshot
Strongly Regular Generalized Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Convexity and Openness with Linear Rate
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Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System
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Metric and Topological Tools
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Elementary and Viscosity Subdifferentials
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Proto-Derivatives and the Geometry of Solution Mappings in Nonlinear Programming
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Solution Mappings for Variational Problems
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The Inverse Function Theorems of L. M. Graves
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Approximation, Inversion and Implicit Function Theorems
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Characterizations of Lipschitz Stability in Optimization
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Implicit multifunction theorems for the sensitivity analysis of variational conditions
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Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $L^2(\Omega)$ under Control Constraints
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Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space
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Robinson’s implicit function theorem and its extensions
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Characterizations of the Aubin property of the solution mapping for nonlinear semidefinite programming
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Sensitivity analysis and the adjoint update strategy for an optimal control problem with mixed control-state constraints
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Path-following for optimal control of stationary variational inequalities
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Implicit Function Theorems for Nondifferentiable Mappings
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Localization of Generalized Normal Maps and Stability of Variational Inequalities in Reflexive Banach Spaces
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Lower Semicontinuity of the Solution Map to a Parametric Generalized Variational Inequality in Reflexive Banach Spaces
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Implicit Functions: a Metric Theory
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Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations
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Extensions of metric regularity
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BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS *
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Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability
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Stability Analysis for Nonlinear Optimal Control Problems Subject to State Constraints
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Lipschitzian Multifunctions and a Lipschitzian Inverse Mapping Theorem
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Optimal control of the unsteady Navier-Stokes equations
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Differentiability of the value function on $ H^1(\Omega) $ of semilinear parabolic infinite time horizon optimal control problems under control constraints
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SENSITIVITY ANALYSIS FOR A CLASS OF IMPLICIT MULTIFUNCTIONS WITH APPLICATIONS
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Lipschitz Stability of Solutions to Some State-Constrained Elliptic Optimal Control Problems
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Sensitivity Analysis for Parametric Optimal Control of Semilinear Parabolic Equations
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