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Table 1 Detailed analysis of computational methods (21) and (3) for Example 1 with \({\mathbf{u}} = (5,5)\), \(N = 15 \), \(E(x_{1}^{n}) = \Vert x_{1}^{n +1} - x_{1}^{n} \Vert , n\in N_{0} \) and \(E(x_{2}^{n}) = \Vert x_{2}^{n +1} - x_{2}^{n} \Vert , n\in N_{0} \)

From: Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

 

Iterative (21)

Iterative (3)

n

\(E({\mathbf{x}}_{1}^{n}) \)

\(E({\mathbf{x}}_{2}^{n}) \)

\(E({\mathbf{x}}_{1}^{n})\)

\(E({\mathbf{x}}_{2}^{n})\)

1

1.0000

2.0000

1.0000

2.0000

2

0.6468

0.8770

0.6497

0.8828

3

0.3961

0.4630

0.3995

0.4681

4

0.2619

0.2826

0.2646

0.2862

15

0.0472

0.0457

0.0476

0.0476