Skip to main content

Table 1 Comparative results

From: New iteration scheme for numerical reckoning fixed points of nonexpansive mappings

Step

Picard

Mann

Ishikawa

Noor

Agarwal

Abbas

New iter.

1

40.0000000000

40.0000000000

40.0000000000

40.0000000000

40.0000000000

40.0000000000

40.0000000000

2

36.3318042492

36.8820336118

34.8751575132

33.9816211055

34.3249281505

34.2399531822

32.9458774280

3

32.7008496221

33.7905308732

29.8335259837

28.0882816012

28.7529148550

28.5873914017

26.0696692526

4

29.1159538575

30.7306375124

24.9067432334

22.3811620460

23.3289757744

23.0905148078

19.4826041425

5

25.5892777970

27.7090706072

20.1467307646

16.9736024952

18.1321892967

17.8350979079

13.4242477938

6

22.1381326176

24.7347891266

15.6449263114

12.0962209155

13.3147454600

12.9887334680

8.4745882697

7

18.7880774656

21.8200359935

11.5741197024

8.2289280979

9.1939307941

8.9032413368

5.7279660470

8

15.5784221001

18.9820007784

8.2638548016

6.0182077910

6.3717274607

6.2123720180

5.0765141830

9

12.5721859009

16.2455313784

6.1736938982

5.2517005165

5.2434387591

5.2064678069

5.0064676549

10

9.8733161157

13.6475866165

5.3185408455

5.0576355955

5.0298139084

5.0252795464

5.0005330507

11

7.6482574613

11.2442765494

5.0768890301

5.0129587850

5.0033662656

5.0028941692

5.0000438381

12

6.1081734180

9.1201110370

5.0179832209

5.0029016212

5.0003761718

5.0003285479

5.0000036046

13

5.3333287129

7.3913650188

5.0041744485

5.0006491038

5.0000419870

5.0000372607

5.0000002964

14

5.0771808572

6.1732610225

5.0009673150

5.0001451769

5.0000046858

5.0000042253

5.0000000244

15

5.0160062399

5.4814708358

5.0002240577

5.0000324684

5.0000005229

5.0000004791

5.0000000020

16

5.0032258274

5.1725897008

5.0000518932

5.0000072614

5.0000000584

5.0000000543

5.0000000002

17

5.0006461643

5.0576419946

5.0000120186

5.0000016240

5.0000000065

5.0000000062

5.0000000000

18

5.0001292729

5.0187159301

5.0000027835

5.0000003632

5.0000000007

5.0000000007

5.0000000000

19

5.0000258562

5.0060176595

5.0000006447

5.0000000812

5.0000000001

5.0000000001

5.0000000000

20

5.0000051713

5.0019286052

5.0000001493

5.0000000182

5.0000000000

5.0000000000

5.0000000000

21

5.0000010343

5.0006174572

5.0000000346

5.0000000041

5.0000000000

5.0000000000

5.0000000000

22

5.0000002069

5.0001976174

5.0000000080

5.0000000009

5.0000000000

5.0000000000

5.0000000000

23

5.0000000414

5.0000632408

5.0000000019

5.0000000002

5.0000000000

5.0000000000

5.0000000000

24

5.0000000083

5.0000202374

5.0000000004

5.0000000000

5.0000000000

5.0000000000

5.0000000000

25

5.0000000017

5.0000064760

5.0000000001

5.0000000000

5.0000000000

5.0000000000

5.0000000000

26

5.0000000003

5.0000020723

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

27

5.0000000001

5.0000006631

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

28

5.0000000000

5.0000002122

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

29

5.0000000000

5.0000000679

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

30

5.0000000000

5.0000000217

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

31

5.0000000000

5.0000000070

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

32

5.0000000000

5.0000000022

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

33

5.0000000000

5.0000000007

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

34

5.0000000000

5.0000000002

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000

35

5.0000000000

5.0000000001

5.0000000000

5.0000000000

5.0000000000

5.0000000000

5.0000000000