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Table 2 Comparison of the convergence rate of Mann, Ishikawa, Noor and CP iterations for the function given in Example 3.2

From: Approximating fixed points for continuous functions on an arbitrary interval

n Mann Ishikawa Noor CP-iteration
x n x n x n x n |f( x n ) x n |
1 5.000000 5.000000 5.000000 5.000000 2.363932
10 1.529828 1.504824 1.501931 1.359649 0.073668
20 1.293319 1.284893 1.283943 1.224654 0.023218
30 1.223891 1.219794 1.219335 1.187049 0.011033
40 1.193599 1.191253 1.190991 1.171120 0.006204
50 1.177752 1.176279 1.176115 1.162994 0.003827
60 1.168542 1.167561 1.167452 1.158380 0.002505
70 1.162807 1.162126 1.162050 1.155568 0.001710
80 1.159055 1.158568 1.158513 1.153766 0.001205
90 1.156509 1.156152 1.156112 1.152565 0.000870
100 1.154730 1.154463 1.154433 1.151740 0.000641
110 1.153458 1.153255 1.153233 1.151160 0.000480
120 1.152530 1.152374 1.152357 1.150743 0.000365
130 1.151842 1.151721 1.151707 1.150438 0.000281
140 1.151325 1.151230 1.151219 1.150212 0.000218
150 1.150931 1.150856 1.150847 1.150042 0.000171
160 1.150628 1.150568 1.150561 1.149912 0.000136
170 1.150393 1.150345 1.150339 1.149813 0.000108
180 1.150209 1.150169 1.150165 1.149735 0.000087
190 1.150063 1.150031 1.150027 1.149675 0.000070
200 1.149947 1.149920 1.149918 1.149627 0.000057