Hilbert空间中Lipschitz拟伪压缩映像公共不动点的杂交投影算法

A Hybrid Projection Algorithm for Common Fixed Points of a Family of Lipschitz Quasi-Pseudo-Contractive Mappings in Hilbert Spaces

给出了Hilbert空间中Lipschitz拟伪压缩映像族公共不动点的一个投影算法，并利用所给出的算法证明了一个强收敛定理，扩展了参考文献[1]的结果。

This paper modifies the classical hybrid projection algorithm and introduces a new algorithm for common fixed points for a family of Lipschitz quasi-pseudo-contractive mappings in Hilbert spaces. Then a strong convergence theorem is proved by the modified algorithm. The result presented in this paper ex- tends those obtained in reference[ 1 ]