非扩张映象有限族的公共不动点的隐式迭代方法(英文)  

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

作　　者：王亚琴[1] 

机构地区：[1]绍兴文理学院数理信息学院,浙江绍兴312000

出　　处：《应用数学》2010年第1期108-115,共8页Mathematica Applicata

摘　　要：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.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 Ori[1] and Zeng...

关 键 词：非扩张映射 具误差和具扰动映射的隐式迭代程序 OPIAL条件 公共不动点 半紧性 

分 类 号：O177.91[理学—数学]