解伪单调变分不等式问题的一个投影算法  

A Projection Algorithm for Solving Quasi-monotone Variational Inequality Problems

作　　者：刘相静[1] 田志远[1] 王宁[1] 于一超 

机构地区：[1]青岛大学数学科学学院,青岛266071

出　　处：《青岛大学学报（自然科学版）》2014年第3期1-4,9,共5页Journal of Qingdao University(Natural Science Edition)

摘　　要：提出了一个新的解伪单调变分不等式问题的自适应投影算法,其使用了一个新的方向与步长。在伪单调的条件下证明了此算法的收敛性。数值实验表明,此算法有效。A new self-adaptive projection algorithm for the quasi-monotone variational inequality problems is studied. It is proved that the iteration sequence produced by the algorithm converges to a solution of var- iational inequality globally under the conditions that the function is quasi-monotone. Numerical experi- ments are presented which show the efficiency of the method.

关 键 词：变分不等式 伪单调 投影法 收敛 

分 类 号：O224[理学—运筹学与控制论]