# Iterative methods for solving a class of monotone variational inequality problems with applications

@article{Zhou2015IterativeMF, title={Iterative methods for solving a class of monotone variational inequality problems with applications}, author={Haiyun Zhou and Y. Zhou and Guanghui Feng}, journal={Journal of Inequalities and Applications}, year={2015}, volume={2015}, pages={1-17} }

In this paper, we provide a more general regularization method for seeking a solution to a class of monotone variational inequalities in a real Hilbert space, where the regularizer is a hemicontinuous and strongly monotone operator. As a discretization of the regularization method, we propose an iterative method. We then prove that the proposed iterative method converges in norm to a solution of the class of monotone variational inequalities. We also apply our results to the constrainedâ€¦Â Expand

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