Research Article
A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings
Table 1
Comparison of the rate of convergence with various iteration schemes.
| Step | Picard | Ishikawa | Noor | Agarwal | Abbas | Thakur | K. Ullah | -iter. |
| 1 | 30.00000000 | 30.00000000 | 30.00000000 | 30.00000000 | 30.00000000 | 30.00000000 | 30.00000000 | 30.00000000 | 2 | 26.15339366 | 25.01198240 | 23.48910332 | 24.05033082 | 22.61079008 | 21.30667585 | 17.14034293 | 7.939900241 | 3 | 22.41917610 | 20.25475590 | 17.46681907 | 18.43727194 | 15.82815627 | 13.58899597 | 7.920241534 | 6.000499545 | 4 | 18.83737965 | 15.85090878 | 12.32658573 | 13.39382036 | 10.25820641 | 8.112973955 | 6.038818684 | 6.000000071 | 5 | 15.46966242 | 12.01330515 | 8.727576617 | 9.372555587 | 7.001837925 | 6.225674626 | 6.000469229 | 6.000000000 | 6 | 12.41303724 | 9.068862033 | 6.958571160 | 6.993935718 | 6.119154210 | 6.015130221 | 6.000005614 | 6.000000000 | 7 | 9.816626625 | 7.282040026 | 6.310214626 | 6.186206786 | 6.011213258 | 6.000960494 | 6.000000067 | 6.000000000 | 8 | 7.875056741 | 6.466803146 | 6.097925567 | 6.028369366 | 6.001024303 | 6.000060749 | 6.000000001 | 6.000000000 | 9 | 6.718705828 | 6.160065238 | 6.030680843 | 6.004133882 | 6.000093304 | 6.000003841 | 6.000000000 | 6.000000000 | 10 | 6.218734240 | 6.053725040 | 6.009590308 | 6.000598188 | 6.000008497 | 6.000000242 | 6.000000000 | 6.000000000 | 11 | 6.058386534 | 6.017902837 | 6.002995608 | 6.000086472 | 6.000000774 | 6.000000016 | 6.000000000 | 6.000000000 | 12 | 6.014862308 | 6.005951431 | 6.000935492 | 6.000012498 | 6.000000071 | 6.000000001 | 6.000000000 | 6.000000000 | 13 | 6.003732823 | 6.001976848 | 6.000292122 | 6.000001806 | 6.000000005 | 6.000000000 | 6.000000000 | 6.000000000 | 14 | 6.00093429 | 6.000656462 | 6.000091217 | 6.000000261 | 6.000000001 | 6.000000000 | 6.000000000 | 6.000000000 | 15 | 6.000233641 | 6.000217976 | 6.000028483 | 6.000000037 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 16 | 6.000058415 | 6.000072376 | 6.000008894 | 6.000000005 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 17 | 6.000014603 | 6.000024032 | 6.000002778 | 6.000000001 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 18 | 6.000003651 | 6.000007979 | 6.000000866 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 19 | 6.000000912 | 6.000002649 | 6.000000270 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 20 | 6.000000227 | 6.000000880 | 6.000000084 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 21 | 6.000000057 | 6.000000293 | 6.000000026 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 22 | 6.000000014 | 6.000000097 | 6.000000008 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 23 | 6.000000003 | 6.000000032 | 6.000000003 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 24 | 6.000000001 | 6.000000010 | 6.000000001 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 25 | 6.000000000 | 6.000000003 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 26 | 6.000000000 | 6.000000001 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 27 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 28 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 29 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 30 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 | 6.000000000 |
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