Table 2 Comparison of the rate of convergence between the W^(T,12)-iteration and K^(T,12)-iteration for the mapping given in Example 3.7, for ${\lambda }_{n,i}=\frac{1}{n^2+1}$ (i = 1, 2,..., 11) and ${\lambda }_{n,12}=\frac{1}{n^{0.5}+1}$, with the initial point u₁ = x₁ = 5

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

-0.343578991

7.2283E-01

8.7516E-01

-1.215808886

4.6467E-05

4.2767E-05

⋮

⋮

⋮

⋮

⋮

⋮

⋮

27

-1.202983546

1.0858E-02

1.6864E-03

-1.215863785

1.7805E-07

2.9928E-08

28

-1.204709686

9.4031E-03

1.4328E-03

-1.215863815

1.5237E-07

2.5043E-08

29

-1.206182603

8.1616E-03

1.2211E-03

-1.215863841

1.3080E-07

2.1041E-08

30

-1.207442871

7.0994E-03

1.0437E-03

-1.215863862

1.1261E-07

1.7746E-08