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

Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities
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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.
作者 唐国吉 黄南京
机构地区 Department of Mathematics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 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)
关键词 set-valued mixed Variational inequality （SMVI） projected subgradient method non-Lipschitz mapping CONVERGENCE set-valued mixed Variational inequality （SMVI）, projected subgradient method, non-Lipschitz mapping, convergence
分类号 O178 [理学—基础数学]
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参考文献28

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Applied Mathematics and Mechanics(English Edition)
2011年 第10期

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