Hilbert空间中广义混合变分不等式的解  

The Solution of Generalized Mixed 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 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：《四川工商学院学术新视野》2018年第4期40-42,共3页Academic New Vision of Sichuan Technology and Business University

基　　金：四川省教育厅2017年科研项目,项目名称:变分不等式的算法及在停车位均衡分配模型中的应用,项目编号:17ZB0265.

摘　　要：在Hilbert空间中满足Lipschitz连续的条件,用预解方程和不动点理论,在算子强单调的条件下,通过Mann迭代和收敛性分析证明了广义混合变分不等式解的问题。In the paper,Lipschitz continuity condition is satisfied in Hilbert space.And the solution of generalized mixed variational inequalities is proved by Mann iteration and convergence analysis under the condition of strong monotonicity of operators by using pre-solution equation and fixed point theory.

关 键 词：广义混合变分不等式 预解算子 极大单调 强单调 LIPSCHITZ连续 

分 类 号：O177.91[理学—数学]