关于Lipschitz拟伪压缩映像族的强收敛定理

Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions

在Hilbert空间中设计出2种新的关于Lipschitz拟伪压缩映像族和严格拟伪压缩映像族的收缩投影算法,并利用所提出的算法证明了Lipschitz拟伪压缩映像族和严格拟伪压缩映像族的公共不动点的强收敛定理,所得结果改进和推广了已有文献的相关结果.

The purpose is to study the shrinking projection methods for a family of Lipschitz quasi-pseudo-contractions and a family of strict quasi-pseudo-contractions.Then,we proved two strong convergence theorems for their common fixed points by using the proposed projection algorithms in the framework of Hilbert spaces.The results presented in this paper improve and extend the corresponding ones announced by many others.