摘要
首先给出了Hilbert空间中无穷多个Lipschitz单调映像变分不等式解的迭代格式,并证明了其收敛性。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。
In the present paper,an iterative sequence of solving variational inequalities for infinite Lipschitz monotone mappings in Hilbert spaces is proposed,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
《军械工程学院学报》
2011年第3期69-71,共3页
Journal of Ordnance Engineering College
基金
国家自然科学基金资助项目
关键词
强收敛
变分不等式
单调映像
伪压缩映像
strong convergence
variational inequality
monotone mapping
pseudo-contraction
