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A nonsmooth Newton method for variational inequalities, I: Theory

https://doi.org/10.1007/bf01581695
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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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Newton's method for a class of nonsmooth functions
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On multilevel iterative methods for optimization problems
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Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
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Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach
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Iterative methods for variational and complementarity problems
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Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
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A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
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A relaxed projection method for variational inequalities
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Inexact Newton methods for the nonlinear complementarity problem
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Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
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A note on a globally convergent Newton method for solving monotone variational inequalities
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Simplical decomposition of the asymmetric traffic assignment problem
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Nonlinear programming: theory and algorithms
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Monotone Operators and the Proximal Point Algorithm
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Newton's Method for B-Differentiable Equations
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EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS
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On the maximal monotonicity of subdifferential mappings
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Pathways to Solutions, Fixed Points, and Equilibria.
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Proximité et dualité dans un espace hilbertien

What points at this work

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

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On a Primal-Dual Analytic Center Cutting Plane Method for Variational Inequalities
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Semismoothness and Superlinear Convergence in Nonsmooth Optimization and Nonsmooth Equations
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Homotopies Based on Nonsmooth Equations for Solving Nonlinear Variational Inequalities
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A New Method for Solving Variational Inequalities Problem
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A nonsmooth Newton method for variational inequalities, II: Numerical results
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Regularized method for solving variational inequalities with a monotone operator on a polyhedron
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Steven A. Gabriel
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Iterative Methods for Linear Complementarity Problems with Interval Data
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Inexact implicit methods for monotone general variational inequalities
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A hybrid Newton method for solving the variational inequality problem via the D-gap function
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A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
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Improving the Solution of Variational Inequalities Based on the Optimization Approach
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A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities
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Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations
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On a Primal-Dual Analytic Center Cutting Plane Method for Variational Inequalities
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Models and Methods of Finite-Dimensional Variational Inequalities
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Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities
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Decomposition Method for a Class of Monotone Variational Inequality Problems
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Approximate Newton Methods for Nonsmooth Equations
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New Version of the Newton Method for Nonsmooth Equations
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Merit Functions for Complementarity and Related Problems: A Survey
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Existence of the solutions of an interval linear complementarity problem and its application
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Engineering and Economic Applications of Complementarity Problems
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New Sequential and Parallel Derivative-Free Algorithms for Unconstrained Minimization
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Regularity Properties of a Semismooth Reformulation of Variational Inequalities
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Nonmonotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems
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