Convergence of an iteration process for nonexpansive mappings (Q2709190)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence of an iteration process for nonexpansive mappings |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of an iteration process for nonexpansive mappings |
scientific article |
Statements
27 June 2002
0 references
nonexpansive mapping
0 references
Reich's property
0 references
iteration process
0 references
Convergence of an iteration process for nonexpansive mappings (English)
0 references
The purpose of the paper is to recover the main result of \textit{N. Shioji} and \textit{W. Takahashi} [Proc. Am. Math. Soc. 125, No. 12, 3641-3645 (1997; Zbl 0888.47034)] regarding the convergence of the following iteration process for nonexpansive mappings: NEWLINE\[NEWLINEx_{n+1}=\alpha_n x_0 + (1-\alpha_n)T(x_n), n=0,1,\dots,NEWLINE\]NEWLINE without using Banach's limit technique.
0 references
