Research Article
Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order
Table 2
Iteration numbers of scheme (
10) and the others known previously.
| Param.-point | Mann | Ishikawa | Agarwal | Noor | New method |
| Parameter 1: | | | | | | 0.05 | 20 | 19 | 15 | 19 | 13 | 0.20 | 19 | 19 | 14 | 19 | 13 | 0.50 | 19 | 19 | 14 | 19 | 13 | 0.75 | 19 | 18 | 13 | 18 | 12 | 0.95 | 17 | 17 | 12 | 17 | 11 | Parameter 3: | | | | | | 0.05 | 48 | 45 | 14 | 45 | 10 | 0.20 | 48 | 44 | 14 | 44 | 10 | 0.50 | 47 | 43 | 14 | 43 | 10 | 0.75 | 45 | 42 | 13 | 42 | 10 | 0.95 | 42 | 39 | 12 | 39 | 9 | Parameter 5: | | | | | | 0.05 | + | + | 15 | + | 8 | 0.20 | + | + | 15 | + | 8 | 0.50 | + | + | 14 | + | 8 | 0.75 | + | + | 14 | + | 8 | 0.95 | + | + | 13 | + | 7 |
|
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+ means the number of iterations over 1000.
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