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Table 1 Values of \(x_{n}\) and \(z_{n}\)

From: An inertial iterative algorithm for generalized equilibrium problems and Bregman relatively nonexpansive mappings in Banach spaces

No. of iterations

\(x_{n}\)

\(z_{n}\)

\(x_{n}\)

\(z_{n}\)

\(x_{0}=1\), \(x_{1}=2\)

\(x_{0}=-1\), \(x_{1}=-2\)

1

1.695000

1.200000

−1.374971

−0.533333

2

1.436308

0.900583

−0.906199

0.046971

3

1.229982

0.777508

−0.554620

0.137395

4

1.068285

0.707982

−0.290936

0.222908

5

0.942164

0.659502

−0.093173

0.290718

6

0.843949

0.623263

0.055150

0.342544

7

0.767517

0.595549

0.166392

0.381722

8

0.708055

0.574170

0.249823

0.411218

9

0.661802

0.557615

0.312396

0.433385

10

0.625829

0.544772

0.359326

0.450031

11

0.597852

0.534800

0.394524

0.462523

12

0.576094

0.527053

0.420922

0.471898

13

0.559174

0.521032

0.440721

0.478930

14

0.546016

0.516352

0.455570

0.484206

15

0.535783

0.512714

0.466707

0.488164

20

0.510175

0.503614

0.492188

0.497220

25

0.502893

0.501027

0.498235

0.499370

29

0.501058

0.500376

0.499522

0.499827

30

0.500823

0.500292

0.499670

0.499880