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Table 1 Convergence behavior of ( 4.1 ) and ( 4.2 )

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

n

\(x_{n}\) is defined by (4.1)

\(x_{n}\) is defined by (4.2)

1

(0.64798180, 0.43974219, 0.43974219, 0.43974219)

(0.72059826, 0.40030744, 0.40030744, 0.40030744)

2

(0.75902424, 0.37589103, 0.37589103, 0.37589103)

(0.85117540, 0.30304039, 0.30304039, 0.30304039)

3

(0.83727864, 0.31568152, 0.31568152, 0.31568152)

(0.92240530, 0.22298615, 0.22298615, 0.22298615)

4

(0.89102247, 0.26209347, 0.26209347, 0.26209347)

(0.95999322, 0.16167149, 0.16167149, 0.16167149)

5

(0.92740383, 0.21596460, 0.21596460, 0.21596460)

(0.97950207, 0.11629804, 0.11629804, 0.11629804)

6

(0.95181217, 0.17706270, 0.17706270, 0.17706270)

(0.98953675, 0.08330070, 0.08330070, 0.08330070)

7

(0.96809244, 0.14468014, 0.14468014, 0.14468014)

(0.99467153, 0.05952183, 0.05952183, 0.05952183)

8

(0.97890884, 0.11795122, 0.11795122, 0.11795122)

(0.99729071, 0.04247057, 0.04247057, 0.04247057)

9

(0.98607580, 0.09601130, 0.09601130, 0.09601130)

(0.99862397, 0.03027739, 0.03027739, 0.03027739)

10

(0.99081568, 0.07806896, 0.07806896, 0.07806896)

(0.99930171, 0.02157235, 0.02157235, 0.02157235)

55

(1.00000000, 0.00000620, 0.00000620, 0.00000620)

(1.00000000, 0.00000000, 0.00000000, 0.00000000)