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Table 1 Comparison of the convergence rate of Mann, Ishikawa, Noor and CP iterations for the function given in Example 3.1

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 3.000000 3.000000 3.000000 3.000000 1.589769
10 1.074110 1.071538 1.071437 1.043308 0.024408
20 1.015478 1.014946 1.014925 1.008428 0.004658
30 1.004821 1.004656 1.004650 1.002531 0.001394
40 1.001822 1.001760 1.001757 1.000934 0.000514
50 1.000777 1.000750 1.000749 1.000392 0.000216
60 1.000360 1.000348 1.000348 1.000180 0.000099
70 1.000178 1.000172 1.000172 1.000088 0.000048
80 1.000093 1.000089 1.000089 1.000045 0.000025
90 1.000050 1.000048 1.000048 1.000024 0.000013
100 1.000028 1.000027 1.000027 1.000014 0.000007