关于拟渐近伪压缩映像族的复合迭代算法

Composite iterative algorithm for a family of quasi-asymptotically pseudo-contractions

在Hilbert空间中设计出一种新的关于拟渐近伪压缩映像族的复合迭代算法,并利用所提出的算法证明了一致Lipschitz拟渐近伪压缩映像族之强收敛定理成立,最后给出具体的数值实验说明所提出算法的有效性。得到的结论改进了最新文献的一些研究成果。

The purpose of this paper is to study a kind of new composite iterative algorithm for a family of qua- si-asymptotical pseudo-contractions and prove a strong convergence theorem for a family of Lipschitz quasi-as- ymptotically pseudo-contractions by using the proposed algorithms in the framework of Hilbert spaces. Numeri- cal experiments are given to illustrate the effectiveness of the proposed algorithms. The results presented in this paper improve and extend the corresponding ones announced by many others.