Skip to main content

Table 2 Comparison of the convergence rate of Mann, Ishikawa, Noor and CP iterations for the function given in Example 3.2

From: Approximating fixed points for continuous functions on an arbitrary interval

n

Mann

Ishikawa

Noor

CP-iteration

x n

x n

x n

x n

|f( x n ) x n |

1

5.000000

5.000000

5.000000

5.000000

2.363932

10

1.529828

1.504824

1.501931

1.359649

0.073668

20

1.293319

1.284893

1.283943

1.224654

0.023218

30

1.223891

1.219794

1.219335

1.187049

0.011033

40

1.193599

1.191253

1.190991

1.171120

0.006204

50

1.177752

1.176279

1.176115

1.162994

0.003827

60

1.168542

1.167561

1.167452

1.158380

0.002505

70

1.162807

1.162126

1.162050

1.155568

0.001710

80

1.159055

1.158568

1.158513

1.153766

0.001205

90

1.156509

1.156152

1.156112

1.152565

0.000870

100

1.154730

1.154463

1.154433

1.151740

0.000641

110

1.153458

1.153255

1.153233

1.151160

0.000480

120

1.152530

1.152374

1.152357

1.150743

0.000365

130

1.151842

1.151721

1.151707

1.150438

0.000281

140

1.151325

1.151230

1.151219

1.150212

0.000218

150

1.150931

1.150856

1.150847

1.150042

0.000171

160

1.150628

1.150568

1.150561

1.149912

0.000136

170

1.150393

1.150345

1.150339

1.149813

0.000108

180

1.150209

1.150169

1.150165

1.149735

0.000087

190

1.150063

1.150031

1.150027

1.149675

0.000070

200

1.149947

1.149920

1.149918

1.149627

0.000057