A projection descent method for solving variational inequalities

作者：Bnouhachem Abdellah; Ansari Qamrul Hasan; Wen Ching Feng^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 143.

DOI：10.1186/s13660-015-0665-9

• variational inequalities
• self-adaptive rules
• pseudomonotone operators
• projection method

In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.

• 出版日期2015-4-23
• 单位南京大学; 中国石油大学（北京）