%0 Journal Article
%T 求解单调变分不等式问题的一种修正的次梯度超梯度方法<br>Modified subgradient extragradient method for solving monotone variational inequality problems
%A 杨延涛
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.310
%X 摘要： 提出了一种修正的次梯度超梯度方法,用以寻找非扩张映像不动点集与单调变分不等式解集之公共元,证明了由该算法所生成的迭代序列弱收敛于某公共元。所得结果改进并推广了已有文献的相关结果。<br>Abstract: A modified subgradient extragradient method for solving variational inequality problems is proposed in Hilbert space. It is shown that the sequence generated by the proposed algorithm converges weakly to a common element in the intersection of fixed points sets for nonexpansive mappings and of solution sets for monotone variational inequalities. The results presented in this paper improve and generalize the known results
%K 单调变分不等式
%K 公共元
%K 弱收敛
%K 修正的次梯度超梯度方法
%K 非扩张映像
%K &lt
%K br&gt
%K common element
%K monotone variational inequalities
%K weak convergence
%K nonexpansive mappings
%K modified subgradient extragradient method
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.310