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Directional derivatives of optimal solutions in smooth nonlinear programming

https://doi.org/10.1007/bf00940076
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Perturbation theory for abstract optimization problems
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A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem
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On the stability of sets defined by a finite number of equalities and inequalities
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On uniqueness of Kuhn-Tucker multipliers in nonlinear programming
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Directional derivative of the value function in parametric optimization
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Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
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Solution point differentiability without strict complementarity in nonlinear programming
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The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
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Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
inferredcites →https://doi.org/10.1016/s0294-1449(17)30027-6openalex-snapshot
Directional Lipschitzian Optimal Solutions and Directional Derivative for the Optimal Value Function in Nonlinear Mathematical Programming
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First and Second Order Sensitivity Analysis of Nonlinear Programs under Directional Constraint Qualification Conditions
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Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections
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Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
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A New Approach to Lagrange Multipliers
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Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
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On The Marginal Function in Nonlinear Programming
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Convex Analysis

What points at this work

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

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Sample Applications
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First and Second Order Optimality Conditions and Perturbation Analysis of Semi-Infinite Programming Problems
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Expansion of exact and approximate solutions in nonlinear programming
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Directional derivatives of the solution of a parametric nonlinear program
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Hölder behavior of optimal solutions and directional differentiability of marginal functions in nonlinear programming
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Second-Order Analysis of Penalty Function
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On a theorem of Danskin with an application to a theorem of Von Neumann-Sion
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A new perspective on parameter study of optimization problems
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Multivalued Analysis and Differential Properties of Multivalued Mappings
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Perturbation analysis of optimization problems in banach spaces
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Properties of solutions of parametric time-optimal problems in a neighborhood of an abnormal point
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Sensitivity Analysis of Parametrized Programs under Cone Constraints
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On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization
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Sensitivity Analysis of Parametrized Programs via Generalized Equations
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Optimization Problems with Perturbations: A Guided Tour
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Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification
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Perturbed Optimization in Banach Spaces II: A Theory Based on a Strong Directional Constraint Qualification
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Bifurcation Problems for Some Parametric Nonlinear Programs in Banach Spaces
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Viscosity Solutions of Minimization Problems
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Directional Stability Theorem and Directional Metric Regularity
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Second-order Sufficiency and Quadratic Growth for Nonisolated Minima
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Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints
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Inverse Optimization with Noisy Data
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