连续伪压缩映射有限簇的显式迭代程序的收敛性

Convergence Theorems for Explicit Iteration Process for a Finite Family of Continuous Pseudo- Contractive Mappings

通过引入一类新的更具实际意义的显式迭代格式，证明了Banach空间中连续伪压缩映射有限簇一些极限的存在性，并在此基础上给出了任意实Banach空间中连续伪压缩映射有限簇强收敛于其公共不动点的充要条件，改进了已有的结果．

The existences of a finite family of continuous pseudo - contractive mappings were proved in an arbitrary real Banach space by introducing a class of explicit scheme. The scheme is of great practical significance. We also gave the necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudo - contractive mappings in an arbitrary real Banach space. These results improved the recent corresponding results.