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Fixed Point Theory and Algorithms for Sciences and Engineering

Table 6 Cases of Thakur iteration

From: A comparative study on the convergence rate of some iteration methods involving contractive mappings

Step

(a)

(b)

(c)

(d)

1

4.2609841803

9.03125

10.2844561595

10.8540663001

2

2.2826469537

4.2135416667

5.4804739263

6.2632682688

3

2.0353310377

2.6009419759

3.3595601275

4.0142167756

4

2.004416382

2.1466298421

2.5007642765

2.9360724936

5

2.0005520478

2.0330086855

2.1756764587

2.4287794141

6

2.000069006

2.0069770545

2.0591364356

2.1939030837

7

2.0000086257

2.0014018838

2.0192087915

2.0866824323

8

2.0000010782

2.0002701847

2.0060472121

2.0383477219

9

2.0000001348

2.0000502881

2.0018515929

2.0168034488

10

2.0000000168

2.0000090866

2.0005529869

2.0072985299

11

2.0000000021

2.0000016005

2.0001614712

2.0031443476

12

2.0000000003

2.0000002757

2.0000461907

2.0013443922

13

 

2.0000000466

2.0000129668

2.0005707329

14

 

2.0000000077

2.0000035774

2.0002406784

15

 

2.0000000013

2.0000009712

2.0001008564

16

  

2.0000002597

2.0000420126

17

  

2.0000000685

2.0000174019

18

  

2.0000000178

2.0000071693

19

  

2.0000000046

2.0000029385

20

  

2.0000000012

2.0000011985

21

   

2.0000004865

22

   

2.0000001966

23

   

2.0000000791

24

   

2.0000000317

25

   

2.0000000127

26

   

2.000000005

CPU time

0.0013

0.0014

0.0015

0.0017

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