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Table 3 Convergence of the algorithm (33) in Example 4.3

From: A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs

n

\(\mathbf{x}_{n}\)

\(\| \mathbf{x}_{n+1} - \mathbf{x}_{n} \|_{l_{2}}\)

0

(0.1666666667, 0.1250000000, 0, 0, 0, …)

1

(0.0520833333, 0.0356445312, 0, 0, 0, …)

0.145305678049104

2

(0.0289080584, 0.0212303748, 0, 0, 0, …)

0.027292146725652

3

(0.0211989415, 0.0157728954, 0, 0, 0, …)

0.009445346214247

4

(0.0168688945, 0.0125839647, 0, 0, 0, …)

0.005377600440776

5

(0.0140193120, 0.0104711016, 0, 0, 0, …)

0.003547437162869

6

(0.0119960131, 0.0089667510, 0, 0, 0, …)

0.002521271327788

7

(0.0104841218, 0.0078407665, 0, 0, 0, …)

0.001885114422034

8

(0.0093111644, 0.0069662178, 0, 0, 0, …)

0.001463101033630

9

(0.0083745148, 0.0062672882, 0, 0, 0, …)

0.001168680937519

10

(0.0076092299, 0.0056958782, 0, 0, 0, …)

0.000955076040639

10,198

(0.0000081708, 0.0000061281, 0, 0, 0, …)

0.000000001001519

10,199

(0.0000081700, 0.0000061275, 0, 0, 0, …)

0.000000001001323

10,200

(0.0000081692, 0.0000061269, 0, 0, 0, …)

0.000000001001126

10,201

(0.0000081684, 0.0000061263, 0, 0, 0, …)

0.000000001000930

10,202

(0.0000081676, 0.0000061257, 0, 0, 0, …)

0.000000001000734

10,203

(0.0000081668, 0.0000061251, 0, 0, 0, …)

0.000000001000538

10,204

(0.0000081660, 0.0000061245, 0, 0, 0, …)

0.000000001000342

10,205

(0.0000081652, 0.0000061239, 0, 0, 0, …)

0.000000001000145

10,206

(0.0000081644, 0.0000061233, 0, 0, 0, …)

0.000000000999950