2-一致光滑空间中严格伪压缩映像的弱收敛定理

Weak Convergence Theorems for Strict Pseudo-contractions in 2-uniformly Smooth Banach Spaces

讨论了严格伪压缩映像的不动点问题.在2-一致光滑一致凸的Banach空间中,通过Mann迭代方法得到严格伪压缩映像的不动点的弱收敛结果.这个结果推广了目前的已知结果.

In this article, we discuss the problem for finding fixed points of strict pseudocontractive mapping. Weak convergence result of the Mann iteration method to a fixed point of strict pseudo-contractive mapping in a real 2-uniformly smooth Banach space which is uniformly convex is proved. The results presented extend the recent corresponding known results.