摘要
给出了Hilbert空间中Lipschitz单调映像变分不等式解的迭代格式,证明了其收敛性.作为应用,证明了Hilbert空间中Lipschitz伪压缩映像的强收敛定理,扩展了已知的相关结果.
An iterative sequence of solving varitional inequalities for Lipschitz monotone mappings in Hilbert spaces is proposed firstly,and then its convergence is proved.As its application,a strong convergence theorem for Lipschitz pseudo-contractions is obtained,which extends the known results.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2010年第3期260-262,267,共4页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(10771050)
关键词
强收敛
变分不等式
伪压缩映像
收缩投影算法
strong convergence
variational inequality
pseudo-contraction
shrinking projection algorithm
