Table 4 Oscillating function
From: Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems
Number of iterations | Jungck-Kirk-Mann | Jungck-Kirk-Ishikawa | Jungck-Kirk-Noor | Jungck-Kirk-CR | Jungck-Kirk-SP | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
n |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 | 0.25 | 0.25 | 2 | 0.25 | 0.25 | 2 | 0.25 | 0.25 | 2 | 0.25 | 0.25 | 0.707107 | 0.25 | 0.25 | 1.189207 |
1 | 0.25 | 0.25 | 1.916621 | 0.25 | 0.25 | 1.837722 | 0.25 | 0.25 | 1.7634 | 2 | 2 | 1.152313 | 0.707107 | 0.707107 | 1.006249 |
2 | 0.272225 | 0.272225 | 1.792281 | 0.296101 | 0.296101 | 1.611392 | 0.321587 | 0.321587 | 1.458178 | 0.753111 | 0.753111 | 0.994516 | 0.987617 | 0.987617 | 1.000077 |
3 | 0.311306 | 0.311306 | 1.64864 | 0.385121 | 0.385121 | 1.378543 | 0.470304 | 0.470304 | 1.196768 | 1.011059 | 1.011059 | 1.000139 | 0.999846 | 0.999846 | 1 |
4 | 0.367916 | 0.367916 | 1.499982 | 0.52621 | 0.52621 | 1.18467 | 0.698201 | 0.698201 | 1.057246 | 0.999722 | 0.999722 | 1 | 1 | 1 | 1 |
5 | 0.444455 | 0.444455 | 1.357403 | 0.712533 | 0.712533 | 1.065618 | 0.894639 | 0.894639 | 1.013039 | 1 | 1 | 1 | 1 | 1 | 1 |
6 | 0.542728 | 0.542728 | 1.230991 | 0.880636 | 0.880636 | 1.017436 | 0.974423 | 0.974423 | 1.002468 | 1 | 1 | 1 | 1 | 1 | 1 |
7 | 0.659918 | 0.659918 | 1.130418 | 0.966019 | 0.966019 | 1.003771 | 0.995081 | 0.995081 | 1.000388 | 1 | 1 | 1 | 1 | 1 | 1 |
8 | 0.782567 | 0.782567 | 1.062306 | 0.9925 | 0.9925 | 1.000694 | 0.999224 | 0.999224 | 1.000051 | 1 | 1 | 1 | 1 | 1 | 1 |
9 | 0.886136 | 0.886136 | 1.025036 | 0.998613 | 0.998613 | 1.00011 | 0.999899 | 0.999899 | 1.000005 | 1 | 1 | 1 | 1 | 1 | 1 |
10 | 0.951748 | 0.951748 | 1.008718 | 0.999779 | 0.999779 | 1.000015 | 0.999989 | 0.999989 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
11 | 0.982789 | 0.982789 | 1.002744 | 0.99997 | 0.99997 | 1.000002 | 0.999999 | 0.999999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
12 | 0.994535 | 0.994535 | 1.000803 | 0.999996 | 0.999996 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
13 | 0.998396 | 0.998396 | 1.000222 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
14 | 0.999556 | 0.999556 | 1.000058 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
15 | 0.999884 | 0.999884 | 1.000015 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
16 | 0.999971 | 0.999971 | 1.000003 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
17 | 0.999993 | 0.999993 | 1.000001 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
18 | 0.999998 | 0.999998 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
19 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
20 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |