混合似变分不等式解的一个四步迭代算法  

A FOUR-STEP ITERATIVE METHOD FOR SOLVING MIXED QUASI-VARIATIONAL INEQUALITIES

作　　者：田永兴[1,2] 邓磊[2] 

机构地区：[1]重庆交通大学理学院,重庆400067 [2]西南大学数学与统计学院,重庆400715

出　　处：《物探化探计算技术》2008年第6期527-529,共3页Computing Techniques For Geophysical and Geochemical Exploration

摘　　要：利用不动点和预解方程这一技巧,给出一个求解混合似变分不等式的四步迭代算法。在算子T伪单调连续的条件下,即可证明新提出的算法的收敛性,并且所得到的结果可以看作是对先前求解变分不等式算法的推广和改进。In this paper,we use the fixed-point and the resolvent equations techniques to suggest and analyze a four-step iterative method for solving mixed quasi-variational inequalities.The new iterative method is convergent for pseudomonotone and continuous operators T.Our results can be regarded as a significant extensions and amelioration of the previously known methods of solving variational inequalites.

关 键 词：混合似变分不等式 预解方程 不动点 迭代算法 

分 类 号：O177.91[理学—数学]