Research Article

New Iteration Scheme for Approximating a Common Fixed Point of a Finite Family of Mappings

Table 1

.

N = 5, xt,1 = 10N = 5, xt,1 = −10N = 10, xt,1 = −10N = 10, xt,1 = 10
nxt,nNxt,nnxt,nnxt,n

1−101101101−10
2−4.86339174424.86339174424.863339142−4.86333914
3−2.42600839832.42600839832.425957823−2.42595782
4−1.22022106441.22022106441.220183654−1.22018365
5−0.61582043150.61582043150.615795565−0.61579556
6−0.31131076760.31131076760.311295186−0.31129518
7−0.15752170770.15752170770.15751237−0.1575123
8−0.07975099380.07975099380.079745468−0.07974546
9−0.04039201490.04039201490.040388839−0.04038883
10−0.020462938100.020462938100.0204611310−0.02046113
11−0.01036864110.01036864110.0103676311−0.01036763
12−0.005254554120.005254554120.0052539912−0.00525399
13−0.002663152130.002663152130.0026628413−0.00266284
14−0.00134987140.00134987140.001349714−0.0013497
15−0.000684252150.000684252150.0006841615−0.00068416
16−0.000346866160.000346866160.0003468216−0.00034682
17−0.000175843170.000175843170.0001758217−0.00017582
18−0.000089144180.000089144180.0000891318−0.00008913
19−0.000045193190.000045193190.0000451919−0.00004519
20−0.000022912200.000022912200.0000229120−0.00002291
21−0.000011615210.000011615210.0000116121−0.00001161
22−0.000005887220.000005887220.0000058822−0.00000588
23−0.000002983230.000002983230.0000029823−0.00000298
24−0.000001509240.000001509240.0000015124−0.00000151
25−0.000000762250.000000762250.0000007625−0.00000076
26−0.000000384260.000000384260.0000003826−0.00000038
27−0.000000191270.000000191270.0000001927−0.00000019
28−0.000000095280.000000095280.0000000928−0.00000009
29−0.000000046290.000000046290.0000000429−0.00000004
30−0.00000002300.00000002300.0000000230−0.00000002
31−0.000000007310.000000007310.0000000131−0.00000001
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