Hilbert空间中Lipschitz伪压缩映像不动点的杂交投影算法

Hybrid Projection Algorithm for Fixed Points of Lipschitz Pseudo-contractive Mappings in Hilbert Spaces

在Hilbert空间中，采用杂交投影的方法设计了一种Lipschitz伪压缩映像不动点新的迭代格式，并利用Hilbert空间中特有的性质，证明了由此算法产生的序列强收敛于Lipschitz伪压缩映像不动点。

This paper describes a new iteration sequence of Lipschitz pseudo-contractive mapping which is given in Hilbert space by means of hybrid projection. It proves the strong convergence of the algorithm based on the inherent characteristics in Hilbert spaces.