Table 1 Comparison of the rate of convergence between W^(T,10)-iteration and the K^(T,10)-iteration for the mapping given in Example 3.6, for ${\lambda }_{n,i}=\frac{1}{n^{1.5}+1}$ (i = 1,2,...,9) and ${\lambda }_{n,10}=\frac{1}{n^{0.5}+1}$

n

u _n

| Tu _n - u _n |

$\left|\frac{u_n-u_{n-1}}{u_n}\right|$

x _n

| Tx _n - x _n |

$\left|\frac{x_n-x_{n-1}}{x_n}\right|$

5

3.148579041

4.2578E-01

5.1938E-02

4.038406568

3.8114E-03

1.3069E-03

⋮

⋮

⋮

⋮

⋮

⋮

⋮

41

4.007635152

1.7228E-02

6.1858E-04

4.047140965

2.4503E-05

1.0900E-06

42

4.009942844

1.6218E-02

5.7549E-04

4.047144996

2.2757E-05

9.9604E-07

43

4.012093026

1.5277E-02

5.3593E-04

4.047148686

2.1159E-05

9.1160E-07

44

4.014098247

1.4400E-02

4.9954E-04

4.047152068

1.9695E-05

8.3559E-07

45

4.015969896

1.3582E-02

4.6605E-04

4.047155172

1.8351E-05

7.6704E-07