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Theory and Modern Applications

Table 1 Numerical results of Example 3.2 with \(\alpha _{n}=0.5\) and initial guess \(x_{1}=10\).

From: Shrinking Cesáro means method for the split equilibrium and fixed point problems in Hilbert spaces

\(\alpha _{n}=0.5\) and \(x_{1}=10\)

n

\(u_{n}\)

\(y_{n}\)

\(C_{n}\)

\(x_{n}\)

1

9.804864

4.950971

[0,10.000000]

10.000000

2

7.328900

1.282254

[0,7.475485]

7.475485

3

4.292865

0.396959

[0,4.378870]

4.378870

10

0.044694

0.000849

[0,0.045592]

0.045592

11

0.022763

0.000398

[0,0.023220]

0.023220

25

0.000002

0.000000

[0,0.000002]

0.000002

26

0.000001

0.000000

[0,0.000001]

0.000001

27

0.000000

0.000000

[0,0.000000]

0.000000