平均非扩张映射的迭代程序的收敛性  

Iterative Procedure Convergence for Mean Nonexpansive Mappings

作　　者：廖怡娜 张创亮 LIAO Yina;ZHANG Chuangliang(School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China)

机构地区：[1]广东工业大学应用数学学院,广州510520

出　　处：《湖南理工学院学报（自然科学版）》2017年第2期11-15,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：利用Gocbel等人引入的平均非扩张映射的概念,得到了一致凸Banach空间下Mann迭代程序收敛于平均非扩张映射不动点的一些结果,同时也得到了在非凸Banach空间下迭代收敛的一些结果.We used the concept of mean nonexpansive mapping which are introduced by Gocbel et al,and obtained someresults of Mann iterative procedure converges to fixed point of mean nonexpansive mappings on uniformly convex Banach space,and got some results of iterative convergence for it’s on non-uniformly convex Banach space.

关 键 词：平均非扩张映射 MANN 迭代程序 不动点 

分 类 号：O177.91[理学—数学]