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

被引：0
作者：
Haiyun Zhou
Yu Zhou
Guanghui Feng
机构：
[1] Hebei Normal University,Department of Mathematics and Information
[2] Shijiazhuang Mechanical Engineering College,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
monotone variational inequality problem; minimum-norm solution; iterative method; strong convergence; Hilbert space; 41A65; 47H17; 47J20;
D O I：
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摘要：
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 minimization problem and the minimum-norm fixed point problem for a generalized Lipschitz continuous and pseudocontractive mapping. The results presented in the paper improve and extend recent ones in the literature.
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