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

作　　者：王小哲[1] 周海云[1] 

机构地区：[1]华北电力大学数理系,河北保定071000

出　　处：《数学的实践与认识》2008年第2期139-143,共5页Mathematics in Practice and Theory

摘　　要：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.

关 键 词：一致光滑 严格伪压缩 弱收敛 固定点 

分 类 号：O177[理学—数学]