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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (10): 1345-1356.doi: https://doi.org/10.1007/s10483-011-1505-x

• Articles • 上一篇    

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

唐国吉 黄南京   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • 收稿日期:2011-04-02 修回日期:2011-07-07 出版日期:2011-10-09 发布日期:2011-10-09

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

 TANG Guo-Ji, HUANG Na-Jing   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • Received:2011-04-02 Revised:2011-07-07 Online:2011-10-09 Published:2011-10-09

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被引次数

6

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.

Abstract: 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.

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