Modified fixed-point equations and related iterative methods for variational inequalities

DOI10.1016/S0898-1221(04)90075-2zbMath1057.49013OpenAlexW2094779286MaRDI QIDQ1767810

Nai-Hua Xiu, Y. J. Wang, Xiang-Sun Zhang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90075-2

zbMATH Keywords

variational inequalitiesiterative methodprojectionfixed-point equation

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (7)

A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems ⋮ A new extragradient-like method for solving variational inequality problems ⋮ An inertial Popov extragradient projection algorithm for solving multi-valued variational inequality problems ⋮ A subgradient extragradient algorithm for solving multi-valued variational inequality ⋮ Some projection-like methods for the generalized Nash equilibria ⋮ Some Extragradient Algorithms for Variational Inequalities ⋮ A descent method for mixed variational inequalities

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Solution of projection problems over polytopes
• A class of iterative methods for solving nonlinear projection equations
• A new approach to the extragradient method for nonlinear variational inequalities
• Some recent advances in projection-type methods for variational inequalities
• On linear convergence of iterative methods for the variational inequality problem
• A modified extragradient method for general monotone variational inequalities
• On the Identification of Active Constraints
• Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
• A New Projection Method for Variational Inequality Problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Convergence properties of projection and contraction methods for variational inequality problems
• A new version of extragradient method for variational inequality problems
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