Wiener-Hopf equations and variational inequalities
Journal of Optimization Theory and Applications
An extended descent framework for variational inequalities
Journal of Optimization Theory and Applications
A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
SIAM Journal on Control and Optimization
Pseudomonotone variational inequalities: convergence of proximal methods
Journal of Optimization Theory and Applications
Splitting Algorithms for General Pseudomonotone Mixed Variational Inequalities
Journal of Global Optimization
Improvements of some projection methods for monotone nonlinear variational inequalities
Journal of Optimization Theory and Applications
Some recent advances in projection-type methods for variational inequalities
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Some algorithms for general monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
A class of new iterative methods for general mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
An inexact implicit method for general mixed variational inequalities
Journal of Computational and Applied Mathematics
New inexact implicit method for general mixed quasi variational inequalities
Journal of Global Optimization
A modified inexact implicit method for mixed variational inequalities
Journal of Computational and Applied Mathematics
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In this paper, we use the resolvent equations and the auxiliary principle techniques to suggest a class of iterative resolvent methods for solving general mixed variational inequalities. The convergence of the proposed methods only requires the pseudomonotonicity of the operator, which is weaker than monotonicity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.