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Table 1 Numerical Results of \(\{x_{n}\}\) and \(\{w_{n}\}\) with initial \(x_{1} = 1.0\) based on (3.11)

From: New shrinking iterative methods for infinite families of monotone operators in a Banach space, computational experiments and applications

n

\(x_{n}\)

\(w_{n}\)

1

1.000000000000000

1.000000000000000

2

0.000000000000000

0.446875

3

0.102254342463858

0.341360682151952

4

0.124135236267222

0.285370643452427

5

0.127821625331379

0.247725551310041

6

0.12483324665994

0.219411312688766

7

0.119099684740128

0.196813440416536

8

0.112325627072255

0.178149458121737

9

0.105327818032999

0.162399735334363

10

0.0985093930167346

0.148914357463224

11

0.0920645557462596

0.137245126226504

12

0.0860771021967925

0.127064722634339

13

0.080571192640345

0.118123908962632

14

0.0755387964514549

0.110227022688371

15

0.0709550481367587

0.103216987101004

16

0.0667870345463115

0.0969656052456123

17

0.0629988697395166

0.0913669545415246

18

0.0595546051413147

0.086332693840198

19

0.0564198487140243

0.0817886054753062

20

0.05356260429844

0.077671969713881