期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
An Approximation Theorem of Solutions of Variational Inequalities for Lipschitz Monotone Mappings in Hilbert Spaces
摘要/Abstract
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.
Abstract：
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 pseudo2cont ractions is obtained ,which extends the known results.