Tikhonov regularization methods for variational inequality problems

DOI10.1023/A:1021802830910zbMath0939.90019OpenAlexW1537108755MaRDI QIDQ1306666

Hou-Duo Qi

Publication date: 12 July 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021802830910

zbMATH Keywords

minimizing sequencesregularization methodsvariational inequality problems

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (14)

An application of anisotropic regularization to the existence of weak Pareto minimal points ⋮ The existence results and Tikhonov regularization method for generalized mixed variational inequalities in Banach spaces ⋮ Existence of solutions for mixed variational inequalities with perturbation in Banach spaces ⋮ On the existence of solutions and Tikhonov regularization of hemivariational inequality problems ⋮ The Tikhonov regularization method for set-valued variational inequalities ⋮ Tikhonov regularization methods for inverse variational inequalities ⋮ Regularization and iterative methods for monotone inverse variational inequalities ⋮ On the solution existence of pseudomonotone variational inequalities ⋮ An operator splitting method for monotone variational inequalities with a new perturbation strategy ⋮ The proximal point method for nonmonotone variational inequalities ⋮ Smooth convex approximation to the maximum eigenvalue function ⋮ Regularized nonsmooth Newton method for multi-class support vector machines ⋮ Tikhonov type regularization methods for inverse mixed variational inequalities ⋮ Perturbation strategy for splitting operator method to solve the set-valued variational inequalities

Cites Work

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• A note on least two norm solutions of monotone complementarity problems
• Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities
• Nonlinear complementarity as unconstrained and constrained minimization
• Unconstrained optimization reformulations of variational inequality problems
• Equivalence of variational inequality problems to unconstrained minimization
• Seven kinds of monotone maps
• On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
• Regularization of P₀-Functions in Box Variational Inequality Problems
• Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems

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