Normal maps inducted by linear transformations
Mathematics of Operations Research
Some aspects of variational inequalities
Journal of Computational and Applied Mathematics
Wiener-Hopf equations and variational inequalities
Journal of Optimization Theory and Applications
Modified Projection-Type Methods for Monotone Variational Inequalities
SIAM Journal on Control and Optimization
Implementation of a continuation method for normal maps
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
Journal of Optimization Theory and Applications
A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
SIAM Journal on Control and Optimization
Wiener—Hopf equations technique for quasimonotone variational inequalities
Journal of Optimization Theory and Applications
Some algorithms for general monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
A new iterative method for monotone mixed varitational inequalities
Mathematical and Computer Modelling: An International Journal
An extraresolvent method for monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
Iterative Schemes for Multivalued Quasi Variational Inclusions
Journal of Global Optimization
Pseudomonotone general mixed variational inequalities
Applied Mathematics and Computation
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In this paper, we suggest and analyze a number of resolvent-splitting algorithms for solving general mixed variational inequalities by using the updating technique of the solution. The convergence of these new methods requires either monotonicity or pseudomonotonicity of the operator. Proof of convergence is very simple. Our new methods differ from the existing splitting methods for solving variational inequalities and complementarity problems. The new results are versatile and are easy to implement.