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 constrained… Expand
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References

SHOWING 1-10 OF 40 REFERENCES
A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
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