Convergence theorems of the sequence of iterates for a finite family asymptotically nonexpansive mappings

Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by {Tj:C→C}j=1r as follows: Un(j)=an(j)I+bn(j)TjnUn(j−1)+cn(j)un(j), j=1,2,…,r, x1∈C, xn+1=an(r)xn+bn(r)TrnUn(r−1)xn+cn(r)...

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Bibliographic Details
Main Author: Jui-Chi Huang
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201007244
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