关于拟渐近伪压缩映像族的混杂算法及其数值实现

A new hybrid algorithm and its numerical realization for a family of quasi-asymptotically pseudo-contractions

在Hilbert空间中给出一种新的关于有限族拟渐近伪压缩映像的混杂投影算法,并利用所提出的算法证明了有限族一致Lipschitz拟渐近伪压缩映像的强收敛定理成立,最后给出数值实验说明所提出算法的有效性。所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 hybrid algorithm for a family of quasi-as- ymptotically pseudo-contractions and prove a strong convergence theorem for for a family of Lipschitz quasi-asymptotically pseudo-contractions by using the proposed algorithms in the framework of Hilbert spaces. Numerical 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.