A new extragradient-type method for mixed variational inequalities

作者：Tang Guo ji^*; Zhu Ming; Liu Huan wen

来源：Operations Research Letters, 2015, 43(6): 567-572.

DOI：10.1016/j.or1.2015.08.009

• Extragradient method
• Mixed variational inequality
• f-pseudomonotonicity

In this paper, a new projection method for mixed variational inequalities is introduced in Euclidean spaces. The Armijo-type linesearch is similar to that of He's method for variational inequalities. Under some suitable assumptions, we prove that the sequence generated by the proposed method is globally convergent to a solution of the problem. If, in addition, a certain error bound holds, we analyze the convergence rate of the iterative sequence. The results presented in this paper generalize and improve some known results given in literatures.

• 出版日期2015-11
• 单位广西民族大学