Research Article
A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces
Table 1
Numerical values of the sequence
with the initial point (0.5).
| Total iterations () | Numeric outcomes Mann (2) | Picard-S (5) | Modified-S (9) | Proposed (13) |
| 1 | 0.500000000000000 | 0.500000000000000 | 0.500000000000000 | 0.500000000000000 | 2 | 1.723928538741106 | 1.886255449358858 | 1.976613028097837 | 1.996145420286175 | 3 | 1.950092442436139 | 1.988108110779719 | 1.999553814382810 | 1.999985260725864 | 4 | 1.991717174248763 | 1.998714262800699 | 1.999992020382923 | 1.999999941419748 | 5 | 1.998712485903244 | 1.999859435104046 | 1.999999864826100 | 1.999999999763727 | 6 | 1.999809279065809 | 1.999984550416402 | 1.999999997803722 | 1.999999999999040 | 7 | 1.999972754626556 | 1.999998296729063 | 1.999999999965455 | 2.000000000000000 | 8 | 1.999996215929949 | 1.999999811857257 | 1.999999999999470 | 2.000000000000000 | 9 | 1.999999486114128 | 1.999999979190913 | 1.999999999999992 | 2.000000000000000 | 10 | 1.999999931481887 | 1.999999997696364 | 1.999999999999998 | 2.000000000000000 | 11 | 1.999999991002672 | 1.999999999744810 | 2.000000000000000 | 2.000000000000000 | 12 | 1.999999998833680 | 1.999999999971717 | 2.000000000000000 | 2.000000000000000 | 13 | 1.999999999850472 | 1.999999999996864 | 2.000000000000000 | 2.000000000000000 | 14 | 1.999999999981012 | 1.999999999999652 | 2.000000000000000 | 2.000000000000000 | 15 | 1.999999999997609 | 1.999999999999961 | 2.000000000000000 | 2.000000000000000 | 16 | 1.999999999999701 | 1.999999999999996 | 2.000000000000000 | 2.000000000000000 | 17 | 1.999999999999963 | 1.999999999999999 | 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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