Hilbert空间中混合拟变分不等式的迭代算法  

The Iterative Algorithm for Mixed Quasi-variational Inequalities in Hilbert Spaces

作　　者：肖成英 安世勇 XIAO Chengying;AN Shiyong(Key Laboratory of Cloud Computing and Intelligent Information Processing, Sichuan Technology and Business University, Chengdu, Sichuan 611745,China)

机构地区：[1]四川工商学院云计算与智能信息处理重点实验室,四川成都611745

出　　处：《宜宾学院学报》2018年第12期70-73,共4页Journal of Yibin University

基　　金：四川省教育厅科研项目"变分不等式的算法及在停车位均衡分配模型中的应用"(17ZB0265)

摘　　要：研究关于混合拟变分不等式的解法及解的存在性,通过预解算子证明混合拟变分不等式和不动点问题的等价性,再根据不动点问题构造出迭代算法,从而解决和证明混合拟变分不等式解的存在性问题.The solution of mixed quasi-variational inequality and its existence are introduced and studied.Using the resolvent operator technique,the equivalence between mixed quasi-variational inequality and fixed-point problem is proved.An iterative algorithm is suggested and analyzed according to fixed-point problem.Then the existence problem of the solution of mixed quasi-variational inequality is solved and proved.

关 键 词：混合拟变分不等式 预解算子 极大单调 强单调 LIPSCHITZ连续 迭代算法 

分 类 号：O177.91[理学—数学]