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Table 2 Influence of the step size parameters \(\pmb{\lambda_{n}}\) and \(\pmb{\gamma_{n}}\) for the initial vector \(\pmb{(0,0)}\) with the 4 decimal places

From: Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

Case →

1

2

3

4

5

#(Iters) ↓

\(\boldsymbol{x_{\mathrm{Iter}}}\)

Errors

\(\boldsymbol{x_{\mathrm{Iter}}}\)

Errors

\(\boldsymbol{x_{\mathrm{Iter}}}\)

Errors

\(\boldsymbol{x_{\mathrm{Iter}}}\)

Errors

\(\boldsymbol{x_{\mathrm{Iter}}}\)

Errors

50

\(\begin{pmatrix} 0.4901\\0 \end{pmatrix} \)

0.0099

\(\begin{pmatrix} 0.0654\\0 \end{pmatrix} \)

0.4346

\(\begin{pmatrix} 0.0654\\0 \end{pmatrix} \)

0.4346

\(\begin{pmatrix} 0.4998\\0 \end{pmatrix} \)

\(2.0e^{-04}\)

\(\begin{pmatrix} 0.4998\\0 \end{pmatrix} \)

\(2.0e^{-04}\)

60

\(\begin{pmatrix} 0.4956\\0 \end{pmatrix} \)

0.0044

\(\begin{pmatrix} 0.0680\\0 \end{pmatrix} \)

0.4320

\(\begin{pmatrix} 0.0680\\0 \end{pmatrix} \)

0.4320

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

120

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.0779\\0 \end{pmatrix} \)

0.4221

\(\begin{pmatrix} 0.0779\\0 \end{pmatrix} \)

0.4221

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

275,000

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.4999\\0 \end{pmatrix} \)

\(1.0e^{-04}\)

\(\begin{pmatrix} 0.4999\\0 \end{pmatrix} \)

\(1.0e^{-04}\)

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

300,000

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0

\(\begin{pmatrix} 0.5000\\0 \end{pmatrix} \)

0