A modified projection method with a new direction for solving variational inequalities

作者：Yan Xihong; Han Deren^*; Sun Wenyu

来源：Applied Mathematics and Computation, 2009, 211(1): 118-129.

DOI：10.1016/j.amc.2009.01.064

• Variational inequalities
• Projection methods
• Co-coercive mappings
• Profitable directions
• Global convergence

In this paper, we propose a new projection method for solving variational inequality problems, which can be viewed as an improvement of the method of Li et al. [ M. Li, L.Z. Liao, X. M. Yuan, A modified projection method for co-coercive variational inequality, European Journal of Operational Research 189 (2008) 310-323], by adopting a new direction. Under the same assumptions as those in Li et al. (2008), we establish the global convergence of the proposed algorithm. Some preliminary computational results are reported, which illustrated that the new method is more efficient than the method of Li et al. (2008).

• 出版日期2009-5-1
• 单位南京师范大学