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Table 2 Numerical results of \(\{x_{n}\}\) and \(\{y_{n}\}\) with initial \(x_{1} = 1.0\) based on (3.11)

From: Simple form of a projection set in hybrid iterative schemes for non-linear mappings, application of inequalities and computational experiments

n

\(x_{n}\)

\(y_{n}\)

1

1.000000000000000

0.666666666666667

2

1.333333333333333

0.366666666666667

3

1.100000000000000

0.159259259259259

4

0.796296296296296

0.061546840958606

5

0.553921568627451

0.022846108140226

6

0.388383838383838

0.008539238539239

7

0.281794871794872

0.003291876082574

8

0.213971945367294

0.001318956985865

9

0.17014545117658

0.000548258406019

10

0.14090241034686

0.000235026741802

11

0.12056871854433

0.000103210253516

12

0.10579050985347

0.000046161543370

13

0.094585002365085

0.000020933489477

14

0.085764506388820

0.000009593718512

15

0.078601335767952

0.000004433092326

16

0.072636217763472

0.0000020619835782

17

0.067569139873525

0.0000009642921827

18

0.063196816788736

0.0000004530026220

19

0.059376412673457

0.0000002136378822

20

0.056004102629354

0.0000001010932937