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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| 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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