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Table 1 The values of { z n } , { y n } , and { x n } with initial value x 1 =10

From: An iterative algorithm for system of generalized equilibrium problems and fixed point problem

 

Algorithm 3.1

Algorithm 3.2 with F= F 1

Algorithm 3.2 with F= F 2

z n

y n

x n

z n

y n

x n

z n

y n

x n

n = 1

0.714286

0.238095

10.000000

2.857143

0.952381

10.000000

2.500000

0.833333

10.000000

n = 2

0.174115

0.159605

3.470684

0.908574

0.832860

3.937156

0.839002

0.769085

3.859410

n = 3

0.078010

0.076084

1.799806

0.497992

0.485696

2.365460

0.472515

0.460848

2.295072

n = 4

0.040919

0.040493

1.022977

0.303544

0.300382

1.517720

0.293530

0.290472

1.467648

n = 5

0.023015

0.022893

0.605373

0.193853

0.192819

1.001573

0.190192

0.189177

0.968249

n = 6

0.013425

0.013383

0.365708

0.126958

0.126566

0.671062

0.126044

0.125655

0.649610

n = 7

0.007982

0.007966

0.223090

0.084379

0.084215

0.453535

0.084628

0.084464

0.440068

n = 8

0.004782

0.004776

0.136314

0.056557

0.056483

0.307922

0.057242

0.057167

0.299676

n = 9

0.002859

0.002856

0.082755

0.038063

0.038028

0.209346

0.038845

0.038809

0.204446

n = 10

0.001685

0.001684

0.049394

0.025624

0.025607

0.142095

0.026353

0.026336

0.139297