非扩张映象有限族的公共不动点的隐式迭代方法

本文在实一致凸和q一致光滑Banach空间中研究了一类新的有限族非扩张映象的公共不动点的具误差和具扰动映射的隐式迭代程序并且得到了一些收敛性定理.特别地,获得了该隐式迭代程序强收敛性的充要条件.本文所得结论推广了文1,2]中的相应结果.

Implicit Iteration Method for Common Fixed Points of a Finite Family of Nonexpansive Mappings

In this paper, we introduce a new implicit iteration process with errors and perturbed mapping for common fixed points of a finite family of nonexpansive mappings in real uniformly convex and q -uniformly smooth Banach spaces and establish some convergence theorems for this implicit iteration process. In particular, we obtain necessary and sufficient conditions for strong convergence of this implicit iteration process. The results presented in this paper extend the corresponding results of Xu and Ori1] and Zeng and Yao2] to a Banach space setting.