Banach空间中广义混合变分不等式的新逼近算法  

A New Approximation Algorithm for the Generalized Mixed Variational Inequalities in Banach Space

作　　者：韩小琴[1] 冯世强[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《乐山师范学院学报》2015年第8期1-4,共4页Journal of Leshan Normal University

基　　金：国家自然科学基金资助项目(11371015)

摘　　要：文章利用Banach空间中广义f-投影算子的一些性质,在适当条件下对Banach空间中一类广义混合变分不等式给出了新的迭代算法,并证明了迭代序列收敛到广义混合变分不等式的解。In this paper, some properties of the generalized projection operator in Banach Space are employed to investigate new iterative algorithm for the generalized mixed variational inequalities. Under certain assumption, the strong convergence of the algorithm to the solution of the generalized mixed variational inequalities is proved.

关 键 词：广义f-投影算子 迭代算法 收敛性 

分 类 号：O177.2[理学—数学]