解拟变分不等式的超平面投影算法  

THE HYPERPLANE PROJECTION ALGORITHM FOR SOLVING QUASI-VARIATIONAL INEQUALITIES

作　　者：郑莲[1] 

机构地区：[1]长江师范学院数学与计算机科学学院,涪陵408100

出　　处：《系统科学与数学》2013年第5期579-584,共6页Journal of Systems Science and Mathematical Sciences

基　　金：重庆市教委重点资助项目(kj111309)

摘　　要：拟变分不等式问题是变分不等式问题的一种推广,超平面投影算法是解变分不等式的一种重要方法.通过构造严格分离当前点与拟变分不等式解集的超平面,建立了解拟变分不等式的超平面投影算法.在一定的条件下,证明了该算法的全局收敛性.Quasi-variational inequality problem is an extension of variational inequality problem,and the hyperplane projection algorithm is an important method for solving variational inequality problem.In this paper,we present a hyperplane projection algorithm for solving quasi-variational inequality problem,where the hyperplane strictly separates the current iterate from the solutions of the problem.The proposed algorithm is shown to be globally convergent to a solution of the quasivariational inequality problem under certain assumptions.

关 键 词：拟变分不等式 超平面投影算法 Armijo线性搜寻 收敛性 

分 类 号：O178[理学—数学]