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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
A Projected Subgradient Method for Non-Lipschitz Set-Valued Mixed Variational Inequalities
【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.
【Abstract】 A projected subgradient method for solving a class of set-valued mixed variational inequalities 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.
【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;
【Key words】 set-valued mixed variational inequality; projected subgradient method; non-Lipschitz mapping; convergence;
【Key words】 set-valued mixed variational inequality; projected subgradient method; non-Lipschitz mapping; convergence;
【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)
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2011年10期
- 【分类号】O178
- 【被引频次】5
- 【下载频次】121