一般混合似变分不等式的隐式迭代算法  

Implicit iterative methods for general mixed quasi-variational inequalities

作　　者：万波[1] 江晓涛[1] 曹于忠[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《纯粹数学与应用数学》2009年第2期384-389,共6页Pure and Applied Mathematics

基　　金：重庆市自然科学基金(CQSC(2007BA2024))

摘　　要：对一般混合似变分不等式的若干隐式迭代算法进行了研究;利用一般混合似变分不等式与不动点问题和预解方程的等价关系,采用分裂技巧和自适应迭代技巧结合,提出了一个求解一般混合似变分不等式的新的隐式迭代算法;并证明了该算法在算子T是g-伪单调连续的条件下收敛.In this paper, we study several implicit methods for solving general mixed quasi-variational inequalites. It is well known that the general mixed quasi-variational inequalities are equivalent to the fixed point problems and the resolvent equations. Using this equivalence, combining splitting methods and self-adaptive resolvent method,we suggest and analyze a new implicit iterative method for solving general mixed quasi-variational inequalities. These methods converge for g-pseudomonotone and continuous operators T.

关 键 词：变分不等式 预解方程 自适应 隐式迭代 

分 类 号：O177.91[理学—数学]