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非Lipschitz集值混合变分不等式的一个投影次梯度方法 被引量：4

A Projected Subgradient Method for Non-Lipschitz Set-Valued Mixed Variational Inequalities
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摘要 建立了一个投影次梯度方法来求解一类集值混合变分不等式,其中相关的映象不必是Lipschitz连续的.在合适的条件下,证明了在Hilbert空间中该方法产生的序列强收敛于问题的唯一解. A projected subgradient method for solving a class of set-valued mixed variational in- equalities when the mapping was not necessarily Lipschitz was proposed. Under some suitable conditions, it is proved that the sequence generated by the method was strongly convergent to the unique solution of the problem in Hilbert spaces.
作者 唐国吉 黄南京
机构地区 四川大学数学系
出处 《应用数学和力学》 CSCD 北大核心 2011年第10期1254-1264,共11页 Applied Mathematics and Mechanics
基金 国家自然科学基金重点资助项目(70831005) 国家自然科学基金资助项目(10671135) 中央高校基本科研业务费资助项目(2009SCU11096)
关键词 集值混合变分不等式 投影次梯度方法 非Lipschitz映象 收敛性 set-valued mixed variational inequality projected subgradient method non-Lipschitz mapping convergence
分类号 O177.91 [理学—基础数学] O178 [理学—基础数学]
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参考文献28

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二级参考文献49

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应用数学和力学
2011年 第10期

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