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Table 2 Convergence behavior of ( 4.3 ) and ( 4.4 )

From: The modified S-iteration process for nonexpansive mappings in \(\operatorname{CAT}(\kappa)\) spaces

n

\(x_{n}\) is defined by (4.3)

\(x_{n}\) is defined by (4.4)

1

(1.77547237, 0.98692599, 1.18530561, 2.55563582)

(1.08924010, 0.51696725, 0.46166164, 1.63304335)

2

(0.86101141, 1.01967810, 0.66960079, 1.79706686)

(0.09467395, 0.45823859, 0.19274032, 1.12075626)

3

(0.50793301, 0.63730440, 0.65740263, 1.44787122)

(0.09214727, −0.02529962, 0.22462285, 1.02936224)

4

(0.45512909, 0.39762058, 0.47219289, 1.26024234)

(0.11301324, 0.05817553, −0.05672644, 1.00964067)

5

(0.35116401, 0.33063402, 0.31268711, 1.15343324)

(−0.05463911, 0.05458569, 0.04470058, 0.04470058)

6

(0.24499408, 0.26285320, 0.24775268, 1.09109821)

(0.03652253, −0.04228414, 0.02306040, 1.00182515)

7

(0.18906704, 0.19095564, 0.19822904, 1.05427945)

(0.00627063, 0.02939078, −0.02899485, 1.00087154)

8

(0.15056381, 0.14567561, 0.14817634, 1.03239870)

(−0.01800599, −0.00210393, 0.02266815, 1.00042115)

9

(0.11463049, 0.11504761, 0.11272592, 1.01935432)

(0.01662614, −0.00999700, −0.00565079, 1.00020413)

10

(0.08734712, 0.08852508, 0.08831015, 1.01156557)

(−0.00652282, 0.01156060, −0.00466467, 1.00009897)

50

(0.00000284, 0.00000284, 0.00000284, 1.00000000)

(0.00000000, 0.00000000, 0.00000000, 1.00000000)