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Table 2 Example 5.1 with \(\pmb{t=r=20}\) , \(\pmb{m=60}\) , \(\pmb{n=80}\)

From: Iterative methods for solving the multiple-sets split feasibility problem with splitting self-adaptive step size

Methods

Initial point

\(\boldsymbol{\delta= 10^{-5}}\)

\(\boldsymbol{\delta= 10^{-6}}\)

\(\boldsymbol{\delta= 10^{-7}}\)

\(\boldsymbol{\delta= 10^{-8}}\)

k

k

k

k

Zhao and Yang [17]

\(\mathbf{e}_{\mathbf{1}}\)

311

433

539

629

\(100\mathbf{e}_{\mathbf{1}}\)

318

366

447

527

\(-100\mathbf{e}_{\mathbf{1}}\)

214

276

321

353

Cyclic of Wen et al. [18]

\(\mathbf{e}_{\mathbf{1}}\)

119

145

170

196

\(100\mathbf{e}_{\mathbf{1}}\)

139

169

198

227

\(-100\mathbf{e}_{\mathbf{1}}\)

128

156

183

210

Simultaneous of Wen et al. [18]

\(\mathbf{e}_{\mathbf{1}}\)

1,743

2,431

3,135

3,841

\(100\mathbf{e}_{\mathbf{1}}\)

1,991

2,724

3,473

4,226

\(-100\mathbf{e}_{\mathbf{1}}\)

1,819

2,589

3,354

4,131

Iterative sequence (7)

\(\mathbf{e}_{\mathbf{1}}\)

494

613

725

834

\(100\mathbf{e}_{\mathbf{1}}\)

514

640

762

878

\(-100\mathbf{e}_{\mathbf{1}}\)

513

643

762

878

  1. The number of k is the iteration number when the objection function g(x) of (3) satisfies g(x)≤δ for some given small δ.