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一类广义混合变分不等式组解的强收敛定理
引用本文:史杰,何中全.一类广义混合变分不等式组解的强收敛定理[J].湖州师范学院学报,2011,33(2):30-35.
作者姓名:史杰  何中全
作者单位:西华师范大学,数学与信息学院,四川,南充,637009
基金项目:四川省教育厅2009年度重点课题基金资助项目(07ZA123)
摘    要:研究了Banach空间中一类广义混合变分不等式组问题,引进了一种新的迭代算法,研究了由迭代算法生成的序列的收敛性,并得到了这类变分不等式组解的强收敛定理,从而推广和改进了相关文献的一些工作.

关 键 词:变分不等式组  迭代算法  投影算子  强收敛

Strong Convergence Theorem for a System of Generalized Mixed Variational Inequality
SHI Jie , HE Zhong-quan.Strong Convergence Theorem for a System of Generalized Mixed Variational Inequality[J].Journal of Huzhou Teachers College,2011,33(2):30-35.
Authors:SHI Jie  HE Zhong-quan
Institution:SHI Jie,HE Zhong-quan (School of Mathematics and Information,China West Normal University,Nanchong 637009,China)
Abstract:This paper,which introduces a new iteration algorithm and researches into the convergence of iterative sequence generated by the algorithm,is devoted to studying a new system of generalized mixed variational inequality in Banach spaces,from which we get the strong convergence theorems of the solution for this system of generalized mixed variational inequality.The results obtained in this paper extend corresponding works of others.
Keywords:system of variational inequality  iteration algorithm  projection operator  strong convergence  
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