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Theory and Modern Applications

Table 2 Number of iteration and rate of convergence for Example 3

From: Common fixed point theorems for auxiliary functions with applications in fractional differential equation

N

Number of iteration

\(\| \text{Error}\|_{\infty }\)

Rate

1250

8

1.0304 × 10−6

2500

8

2.6080 × 10−7

1.4995

5000

8

9.2226 × 10−8

1.4997

10,000

8

3.2611 × 10−8

1.4998

20,000

8

1.1531 × 10−8

1.4999