Approximating fixed points of nonexpansive mappings

We consider a mapping S of the form S=α0I+α1T1+α2T2+⋯+αkTk, where αi≥0, α0>0, α1>0 and ∑i=0kαi=1. We show that the Picard iterates of S converge to a common fixed point of Ti(i=1,2,…,k)in a Banach space when Ti(i=1,2,…,k) are nonexpansive.

书目详细资料
发表在:	International Journal of Mathematics and Mathematical Sciences
Main Authors:	Guimei Liu, Deng Lei, Shenghong Li
格式:	文件
语言:	英语
出版:	Wiley 2000-01-01
主题:	Fixed point nonexpansive mapping iterative process.
在线阅读:	http://dx.doi.org/10.1155/S0161171200003252

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