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迭代程序(英文)

Iteration Scheme with Errors and Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings

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显式迭代程序并且得到了一些收敛性定理.特别地,获得了该显式迭代程序强收敛性的充要条件.本文所得到结果推广了文[1]中的相应结果.

In this paper,we introduce a new explicit iteration scheme with errors and perturbed mapping for common fixed points of a finite family of nonexpansive mappings in real uniformly convex and q-uniformly smooth Banaeh spaces and establish some convergence theorems for this explicit iteration scheme.In particular,necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained.The results presented in this paper generalize the corresponding results of Wang^[1].