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Generalized equations and their solutions, Part I: Basic theory
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Stability of the solution of definite quadratic programs
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Classes of functions and feasibility conditions in nonlinear complementarity problems
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Nonlinear Programs with Positively Bounded Jacobians
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Monotone Operators and the Proximal Point Algorithm
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Coercivity Conditions in Nonlinear Complementarity Problems
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A generalization of Brouwer’s fixed point theorem
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A Characterization of Stability in Linear Programming
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Local boundedness of nonlinear, monotone operators.
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The Computation of Economic Equilibria.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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An algorithm with feasible inexact projections for solving constrained generalized equations
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Step size adjustment and extrapolation for time‐stepping schemes in non‐smooth dynamics
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Extensions of Kantorovich theorem to complementarity problem
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Strongly Nonlinear Generalized Equations
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Three-Step Iterative Algorithms for Multivalued Quasi Variational Inclusions
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Linear Complementarity Problem
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Some Results on Subanalytic Variational Inclusions
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Error Bounds for Regularized Complementarity Problems
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On Quantitative Stability for C1,1 Programs
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Gauss-Newton methods for the complementarity problem
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Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
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Global stability result for the generalized quasivariational inequality problem
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Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization
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Computable bounds on parametric solutions of convex problems
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Sensitivity analysis for nonsmooth generalized equations
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Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
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Solution differentiability for variational inequalities
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Stable monotone variational inequalities
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Some perturbation results for the Linear Complementarity Problem
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Sensitivity analysis for variational inequalities and nonlinear complementarity problems
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Sensitivity and stability analysis for nonlinear programming
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Global multi-parametric optimal value bounds and solution estimates for separable parametric programs
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Optimality conditions in smooth nonlinear programming
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A Newton-type method for positive-semidefinite linear complementarity problems
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Asymptotic analysis of stochastic programs
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Kantorovich theorem for variational inequalities
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Implicit multifunction theorems for the sensitivity analysis of variational conditions
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Sensitivity analysis in nonlinear programming under second order assumptions
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Some continuity properties of polyhedral multifunctions
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Characterizations of bounded solutions of linear complementarity problems
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Generalized equations and their solutions, part II: Applications to nonlinear programming
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Sequential optimization and complementarity techniques for computing economic equilibria
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Simple computable bounds for solutions of linear complementarity problems and linear programs
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Generalized equations: Solvability and regularity
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Variational inequalities over Euclidean balls
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A note on solution sensitivity for Karush–Kuhn–Tucker systems
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Convergence Analysis of Extended Hummel–Seebeck-Type Method for Solving Variational Inclusions
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Metric Regularity Relative to a Cone
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Coderivatives in parametric optimization
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Weakly upper Lipschitz multifunctions and applications in parametric optimization
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Differential variational inequalities
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Subgradients of marginal functions in parametric mathematical programming
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Characterizations of linear suboptimality for mathematical programs with equilibrium constraints
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Foreword: Special issue on nonlinear programming, variational inequalities, and stochastic programming
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Multiobjective optimization problems with equilibrium constraints
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Optimization methods and stability of inclusions in Banach spaces
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New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors
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Stochastic variational inequalities: single-stage to multistage
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Quantitative stability analysis of stochastic quasi-variational inequality problems and applications
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A structure-preserving pivotal method for affine variational inequalities
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Critical multipliers in variational systems via second-order generalized differentiation
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On the existence of solutions to stochastic quasi-variational inequality and complementarity problems
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Solving Lagrangian variational inequalities with applications to stochastic programming
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Subregular recourse in nonlinear multistage stochastic optimization
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Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems
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Stability of solutions to parameterized nonlinear complementarity problems
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Linear convergence of epsilon-subgradient descent methods for a class of convex functions
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Lipschitz stability for a class of parametric optimization problems with polyhedral feasible set mapping
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A Midpoint Method for Generalized Equations Under Mild Differentiability Condition
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Extended Semismooth Newton Method for Functions with Values in a Cone
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Systems of generalized quasi-variational inclusion (disclusion) problems in FC-spaces
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Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints
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Stochastic Nash equilibrium problems: sample average approximation and applications
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Discretization of semilinear bang-singular-bang control problems
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Newton’s method with feasible inexact projections for solving constrained generalized equations
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Quantitative analysis for a class of two-stage stochastic linear variational inequality problems
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Restrictive metric regularity of set-valued mappings and applications to the Newton’s method for generalized equations
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Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization
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Superimposed optimization methods for the mixed equilibrium problem and variational inclusion
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Saddle point approximation approaches for two-stage robust optimization problems
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Solution maps of polynomial variational inequalities
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Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets
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Improperly efficient solutions in a class of vector optimization problems
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Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization
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DC auxiliary principle methods for solving lexicographic equilibrium problems
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Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints
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Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities
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Convergence Analysis of the Gauss–Newton-Type Method for Lipschitz-Like Mappings
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Metric Regularity of the Sum of Multifunctions and Applications
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Generalized Differentiation of a Class of Normal Cone Operators
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On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization
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Genericity and Hölder Stability in Semi-Algebraic Variational Inequalities
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On the R0-Tensors and the Solution Map of Tensor Complementarity Problems
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Stability of Implicit Multifunctions via Point-Based Criteria and Applications
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Newton’s Method for Solving Generalized Equations Without Lipschitz Condition
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Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions
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Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming
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Well-Posedness and Propagation of Chaos for McKean–Vlasov Stochastic Variational Inequalities
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A Fréchet derivative-free cubically convergent method for set-valued maps
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A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities
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Inexact quasi-Newton methods under a relaxed metric regularity assumption
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An Uniparametric Secant–Type Method for Nonsmooth Generalized Equations
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Coderivatives of the generalized perturbation maps
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Existence of solutions for extended generalized complementarity problems
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Higher-order generalized tangent epiderivatives and applications to set-valued optimization
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Supercalm Multifunctions For Convergence Analysis
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Convex Difference Criteria for the Quantitative Stability of Parametric Quasidifferentiable Systems
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Continuity of the Solution Map in Parametric Affine Variational Inequalities
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Sensitivity of Solutions to a Parametric Generalized Equation
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On Some Regularity Properties in Variational Analysis
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On the Convergence of Coderivative of SAA Solution Mapping for a Parametric Stochastic Generalized Equation
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Stability and Sensitivity Analysis of Solutions to Weak Vector Variational Inequalities
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Strong Fermat Rules for Constrained Set-Valued Optimization Problems on Banach Spaces
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Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
inferred← citeshttps://doi.org/10.1007/s11228-016-0371-xopenalex-snapshot
Solving Ill-posed Bilevel Programs
inferred← citeshttps://doi.org/10.1007/s11228-017-0459-yopenalex-snapshot
Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems
inferred← citeshttps://doi.org/10.1007/s11228-018-0474-7openalex-snapshot
Full Stability of General Parametric Variational Systems
inferred← citeshttps://doi.org/10.1007/s11228-018-0491-6openalex-snapshot
Linearized M-stationarity Conditions for General Optimization Problems
inferred← citeshttps://doi.org/10.1007/s11228-018-0494-3openalex-snapshot
Computation of Graphical Derivatives of Normal Cone Maps to a Class of Conic Constraint Sets
inferred← citeshttps://doi.org/10.1007/s11228-020-00571-zopenalex-snapshot
On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions
inferred← citeshttps://doi.org/10.1007/s11228-023-00665-4openalex-snapshot
Multi-dimensional Path-dependent Forward-backward Stochastic Variational Inequalities
inferred← citeshttps://doi.org/10.1007/s11228-024-00716-4openalex-snapshot
Stability for Parametric Control Problems of PDEs via Generalized Differentiation
inferred← citeshttps://doi.org/10.1007/s11228-026-00807-4openalex-snapshot
Stability Analysis of Parameterized Models Relative to Nonconvex Constraints
inferred← citeshttps://doi.org/10.1007/s11401-007-0540-1openalex-snapshot
Periodic solutions of evolution variational inequalities — a method of guiding functions
inferred← citeshttps://doi.org/10.1007/s11425-019-9757-0openalex-snapshot
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations
inferred← citeshttps://doi.org/10.1007/s11590-011-0299-xopenalex-snapshot
Lipschitzian stability of parametric variational inequalities over perturbed polyhedral convex sets
inferred← citeshttps://doi.org/10.1007/s11590-011-0300-8openalex-snapshot
Solution existence and stability of quadratically constrained convex quadratic programs
inferred← citeshttps://doi.org/10.1007/s11590-012-0463-yopenalex-snapshot
Normal subdifferentials of efficient point multifunctions in parametric vector optimization
inferred← citeshttps://doi.org/10.1007/s11590-015-0915-2openalex-snapshot
A note on Lipschitzian stability of variational inequalities over perturbed polyhedral convex sets
inferred← citeshttps://doi.org/10.1007/s11590-017-1147-4openalex-snapshot
Stability of generalized equations under nonlinear perturbations
inferred← citeshttps://doi.org/10.1007/s11590-017-1163-4openalex-snapshot
On the solution existence and stability of quadratically constrained nonconvex quadratic programs
inferred← citeshttps://doi.org/10.1007/s11590-025-02236-yopenalex-snapshot
Metric perturbation of Milyutin-type regularity and application to cyclic fixed point theorems
inferred← citeshttps://doi.org/10.1007/s11741-003-0046-3openalex-snapshot
A new perturbed algorithm for generalized quasi-variational inclusions
inferred← citeshttps://doi.org/10.1007/s11784-010-0021-0openalex-snapshot
On regularity concepts in variational analysis
inferred← citeshttps://doi.org/10.1007/s11784-017-0415-3openalex-snapshot
Extended Newton-type method and its convergence analysis for nonsmooth generalized equations
inferred← citeshttps://doi.org/10.1007/s11784-019-0733-8openalex-snapshot
Regularity of Newton’s iteration for general parametric variational system
inferred← citeshttps://doi.org/10.1007/s11784-021-00851-7openalex-snapshot
Affine minimax variational inequalities and matrix two-person games
inferred← citeshttps://doi.org/10.1007/s12190-008-0169-6openalex-snapshot
An improved local convergence analysis for a two-step Steffensen-type method
inferred← citeshttps://doi.org/10.1007/s12190-009-0236-7openalex-snapshot
An improved local convergence analysis for Newton–Steffensen-type method
inferred← citeshttps://doi.org/10.1007/s13160-017-0297-1openalex-snapshot
A general iterative method for split common fixed point problem and variational inclusion problem
inferred← citeshttps://doi.org/10.1007/s40306-015-0168-2openalex-snapshot
An Introduction to Vector Variational Inequalities and Some New Results
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