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Table 2 The values of \(\pmb{\{y_{n}\}}\) and \(\pmb{\{x_{n}\}}\) with initial values \(\pmb{x_{1} = -20}\) and \(\pmb{x_{1} = 30}\)

From: An iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings

 

\(\boldsymbol{x_{1} = 30}\)

\(\boldsymbol{x_{1} = -20}\)

\(\boldsymbol{y_{n}}\)

\(\boldsymbol{x_{n}}\)

\(\boldsymbol{y_{n}}\)

\(\boldsymbol{x_{n}}\)

n = 1

30.000000

30.000000

−20.000000

−20.000000

n = 2

4.333515

29.766667

−1.182965

−19.842177

n = 3

1.213029

10.670109

1.191851

−5.840691

n = 4

1.457371

3.573234

1.389710

−0.570266

n = 5

1.122003

1.982320

1.008485

0.895911

n = 6

1.004885

1.334610

1.001361

0.978165

n = 7

0.997038

1.085459

1.000350

0.993713

n = 8

0.999184

1.017533

1.000150

0.997074

n = 9

0.999890

1.002336

1.000099

0.997945

n = 10

1.000035

0.999209

1.000078

0.998268