Research Article
A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces
Table 2
Numerical values of the sequence
with the initial point (0.5).
| Total iterations () | Numeric outcomes Picard-Mann | Picard-S | Modified Picard | Proposed algorithm |
| 1 | 0.500000000000000 | 0.500000000000000 | 0.500000000000000 | 0.500000000000000 | 2 | 1.723928538741106 | 1.905366735526605 | 1.985210450750278 | 1.997551030817435 | 3 | 1.950092442436139 | 1.992893963797876 | 1.999840830715960 | 1.999994722348261 | 4 | 1.991717174248763 | 1.999487151289271 | 1.999998427982258 | 1.999999988416683 | 5 | 1.998712485903244 | 1.999964058581792 | 1.999999985369638 | 1.999999999974333 | 6 | 1.999809279065809 | 1.999997531809481 | 1.999999999869551 | 1.999999999999943 | 7 | 1.999972754626556 | 1.999999832979629 | 1.999999999998874 | 2.000000000000000 | 8 | 1.999996215929949 | 1.999999988823132 | 1.999999999999991 | 2.000000000000000 | 9 | 1.999999486114128 | 1.999999999258555 | 1.999999999999999 | 2.000000000000000 | 10 | 1.999999931481887 | 1.999999999951159 | 2.000000000000000 | 2.000000000000000 | 11 | 1.999999991002672 | 1.999999999996801 | 2.000000000000000 | 2.000000000000000 | 12 | 1.999999998833680 | 1.999999999999792 | 2.000000000000000 | 2.000000000000000 | 13 | 1.999999999850472 | 1.999999999999987 | 2.000000000000000 | 2.000000000000000 | 14 | 1.999999999981012 | 1.999999999999999 | 2.000000000000000 | 2.000000000000000 | 15 | 1.999999999997609 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 16 | 1.999999999999701 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 17 | 1.999999999999963 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 18 | 1.999999999999995 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 19 | 1.999999999999999 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 20 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 | 2.000000000000000 |
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