A modified inexact implicit method for mixed variational inequalities

作者：Bnouhachem, Abdellah^*; Li, Min; Khalfaoui, Mohamed; Sheng Zhaohan

来源：Journal of Computational and Applied Mathematics, 2010, 234(12): 3356-3365.

DOI：10.1016/j.cam.2010.04.036

• Mixed variational inequalities
• Implicit methods
• Resolvent operator
• Inexact methods
• Self-adaptive rules

In this paper, we suggest and analyze an inexact implicit method with a variable parameter for mixed variational inequalities by using a new inexactness restriction. Under certain conditions, the global convergence of the proposed method is proved. Some preliminary computational results are given to illustrate the efficiency of the new inexactness restriction. The results proved in this paper may be viewed as improvement and refinement of the previously known results.

• 出版日期2010-10-15
• 单位南京大学; 东南大学