Research Article
Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
Table 2
The results for various iterations of Example
10.
| | Mann | Picard-Mann | Ishikawa | Thianwan | S-iteration |
| | 0 | 4.000000000 | 4.000000000 | 4.000000000 | 4.000000000 | 4.000000000 | | 1 | 3.658312395 | 3.211950309 | 3.316624790 | 3.210186229 | 3.210186229 | | 2 | 3.360737671 | 3.05436713 | 3.174706708 | 3.10855584 | 3.061581272 | | 3 | 3.178630457 | 3.015059648 | 3.11619388 | 3.070267725 | 3.019321892 | | 4 | 3.082897312 | 3.004347136 | 3.085110108 | 3.050716647 | 3.006219262 | | 5 | 3.036738167 | 3.001287744 | 3.066152455 | 3.03905625 | 3.002026325 | | 6 | 3.015723592 | 3.000388341 | 3.053529001 | 3.031402901 | 3.000664646 | | 7 | 3.006547498 | 3.000118657 | 3.044594314 | 3.026040224 | 3.000218903 | | 8 | 3.002666794 | 3.000036622 | 3.037979605 | 3.022099423 | 3.000072291 | | 9 | 3.001066599 | 3.000011394 | 3.032910338 | 3.019096558 | 3.000023918 | | 10 | 3.000420156 | 3.000003568 | 3.028917572 | 3.016742078 | 3.000007924 | | 11 | 3.000163391 | 3.000001123 | 3.025701936 | 3.014852836 | 3.000002628 | | 12 | 3.000062842 | 3.000000355 | 3.023063963 | 3.013307708 | 3.000000872 | | 13 | 3.00002394 | 3.000000113 | 3.020865992 | 3.012023608 | 3.000000029 | | 14 | 3.000009044 | 3.000000036 | 3.019010164 | 3.010941775 | 3.000000001 | | 15 | 3.00000331 | 3.000000012 | 3.017425149 | 3.010019562 | 3.000000000 | | 16 | 3.000001263 | 3.000000004 | 3.016057811 | 3.009225316 | 3.000000000 | | 17 | 3.000000468 | 3.000000001 | 3.014867814 | 3.00853509 | 3.000000000 | | 18 | 3.000000172 | 3.000000000 | 3.013824028 | 3.007930452 | 3.000000000 | | 19 | 3.000000063 | 3.000000000 | 3.012902073 | 3.007397005 | 3.000000000 | | 20 | 3.000000023 | 3.000000000 | 3.012082600 | 3.006923067 | 3.000000000 | | 21 | 3.000000008 | 3.000000000 | 3.011350076 | 3.006500078 | 3.000000000 | | 22 | 3.000000003 | 3.000000000 | 3.010691894 | 3.006120341 | 3.000000000 | | 23 | 3.000000001 | 3.000000000 | 3.010097723 | 3.005777802 | 3.000000000 | | 24 | 3.000000000 | 3.000000000 | 3.009559027 | 3.005467464 | 3.000000000 | | 25 | 3.000000000 | 3.000000000 | 3.009068691 | 3.00518517 | 3.000000000 | | 26 | 3.000000000 | 3.000000000 | 3.008620741 | 3.004927435 | 3.000000000 | | 27 | 3.000000000 | 3.000000000 | 3.008210132 | 3.004691315 | 3.000000000 | | 28 | 3.000000000 | 3.000000000 | 3.007832568 | 3.004474311 | 3.000000000 | | 29 | 3.000000000 | 3.000000000 | 3.007484378 | 3.004274286 | 3.000000000 | | 30 | 3.000000000 | 3.000000000 | 3.007162403 | 3.004089403 | 3.000000000 | | 31 | 3.000000000 | 3.000000000 | 3.00686391 | 3.003918076 | 3.000000000 |
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