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Table 2 Comparison of the convergence rate of the PMH-iterations with the control conditions given in Example 2

From: Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval

n

β n

β n

x n

|f( x n ) x n |

x n

|f( x n ) x n |

2

6.523555

2.923240E − 01

6.460852

2.879644E − 01

3

6.176831

2.680247E − 01

6.053107

2.592325E − 01

50

3.018344

2.032705E − 03

3.012996

1.441226E − 03

98

3.000064

7.152489E − 06

3.000042

4.715360E − 06

99

3.000057

6.357775E − 06

3.000038

4.185547E − 06

100

3.000051

5.642531E − 06

3.000033

3.708715E − 06