文章基本信息

标题：Approximating fixed points of nonexpansive mappings
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作者：Guimei Liu ; Deng Lei ; Shenghong Li 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：24
期号：3
页码：173-177
DOI：10.1155/S0161171200003252
出版社：Hindawi Publishing Corporation
摘要：
We consider a mapping S of the form S = α 0 I + α 1 T 1 + α 2 T 2 + ⋯ + α k T k , where α i ≥ 0 , α 0 > 0 , α 1 > 0 and ∑ i = 0 k α i = 1 . We show that the Picard iterates of S converge to a common fixed point of T i ( i = 1 , 2 , … , k ) in a Banach space when T i ( i = 1 , 2 , … , k ) are nonexpansive.