摘要
首先给出了Hilbert空间中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 varitional inequalities for Lipschitz monotone mappings in Hilbert spaces is proposed firstly, and then its convergence is proved. As its applications, a strong convergence theorem for Lipschitz pseudo-contractions is obtained, which extends the known results.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第12期210-213,共4页
Mathematics in Practice and Theory
基金
国家自然科学基金(10771050)
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 mappings
pseudo-contraction
