Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities  

作　　者：唐国吉 黄南京 

机构地区：[1]Department of Mathematics, Sichuan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第10期1345-1356,共12页应用数学和力学（英文版）

基　　金：supported by the Key Program of National Natural Science Foundation of China(No.70831005);the National Natural Science Foundation of China(No.10671135);the Fundamental Research Funds for the Central Universities(No.2009SCU11096)

摘　　要：A projected subgradient method for solving a class of set-valued mixed variational inequalities （SMVIs） is proposed when the mapping is not necessarily Lipschitz. Under some suitable conditions, it can be proven that the sequence generated by the method can strongly converge to the unique solution to the problem in the Hilbert spaces.A projected subgradient method for solving a class of set-valued mixed variational inequalities （SMVIs） is proposed when the mapping is not necessarily Lipschitz. Under some suitable conditions, it can be proven that the sequence generated by the method can strongly converge to the unique solution to the problem in the Hilbert spaces.

关 键 词：set-valued mixed Variational inequality （SMVI） projected subgradient method non-Lipschitz mapping CONVERGENCE 

分 类 号：O178[理学—数学]