求解广义非凸变分不等式组的迭代算法  

Iterative Methods for a System of Generalized Nonconvex Variational Inequalities

作　　者：艾艺红[1] 

机构地区：[1]重庆工商大学派斯学院基础部,重庆合川401520

出　　处：《西南师范大学学报（自然科学版）》2017年第3期22-26,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市教委教改基金项目(153192)

摘　　要：引入和研究了一类新的广义非凸变分不等式组,这类变分不等式组包括了一些已知和新的非凸变分不等式组及变分不等式作为特例.利用投影技巧给出了一个求解此类非凸变分不等式组的迭代算法,最后证明了该算法在适当条件下收敛.所得的结果修正了一些相关研究的错误结论,也推广改进了一些结论.In this paper,a new system of generalized nonconvex variational inequalities have been introduced and studied.This class of system of variational inequalities includes certain known and new systems of nonconvex variational inequalities as special cases.By means of the projection technique,we have employed a new interative method for the system of generalized nonconvex variational inequalities.It has been proved that the new interative method converges under certain conditions.The algorithm and results present in this paper not only fixed the incorrect algorithms and results existing in the related records,but also improved and extended the previously known results.

关 键 词：非凸变分不等式组 投影技巧 迭代算法 Lipschitzian连续 

分 类 号：O177.91[理学—数学]