Research Article
New Iteration Scheme for Approximating a Common Fixed Point of a Finite Family of Mappings
| N = 5, xt,1 = 10 | N = 5, xt,1 = −10 | N = 10, xt,1 = −10 | N = 10, xt,1 = 10 | n | xt,n | N | xt,n | n | xt,n | n | xt,n |
| 1 | −10 | 1 | 10 | 1 | 10 | 1 | −10 | 2 | −4.863391744 | 2 | 4.863391744 | 2 | 4.86333914 | 2 | −4.86333914 | 3 | −2.426008398 | 3 | 2.426008398 | 3 | 2.42595782 | 3 | −2.42595782 | 4 | −1.220221064 | 4 | 1.220221064 | 4 | 1.22018365 | 4 | −1.22018365 | 5 | −0.615820431 | 5 | 0.615820431 | 5 | 0.61579556 | 5 | −0.61579556 | 6 | −0.311310767 | 6 | 0.311310767 | 6 | 0.31129518 | 6 | −0.31129518 | 7 | −0.157521707 | 7 | 0.157521707 | 7 | 0.1575123 | 7 | −0.1575123 | 8 | −0.079750993 | 8 | 0.079750993 | 8 | 0.07974546 | 8 | −0.07974546 | 9 | −0.040392014 | 9 | 0.040392014 | 9 | 0.04038883 | 9 | −0.04038883 | 10 | −0.020462938 | 10 | 0.020462938 | 10 | 0.02046113 | 10 | −0.02046113 | 11 | −0.01036864 | 11 | 0.01036864 | 11 | 0.01036763 | 11 | −0.01036763 | 12 | −0.005254554 | 12 | 0.005254554 | 12 | 0.00525399 | 12 | −0.00525399 | 13 | −0.002663152 | 13 | 0.002663152 | 13 | 0.00266284 | 13 | −0.00266284 | 14 | −0.00134987 | 14 | 0.00134987 | 14 | 0.0013497 | 14 | −0.0013497 | 15 | −0.000684252 | 15 | 0.000684252 | 15 | 0.00068416 | 15 | −0.00068416 | 16 | −0.000346866 | 16 | 0.000346866 | 16 | 0.00034682 | 16 | −0.00034682 | 17 | −0.000175843 | 17 | 0.000175843 | 17 | 0.00017582 | 17 | −0.00017582 | 18 | −0.000089144 | 18 | 0.000089144 | 18 | 0.00008913 | 18 | −0.00008913 | 19 | −0.000045193 | 19 | 0.000045193 | 19 | 0.00004519 | 19 | −0.00004519 | 20 | −0.000022912 | 20 | 0.000022912 | 20 | 0.00002291 | 20 | −0.00002291 | 21 | −0.000011615 | 21 | 0.000011615 | 21 | 0.00001161 | 21 | −0.00001161 | 22 | −0.000005887 | 22 | 0.000005887 | 22 | 0.00000588 | 22 | −0.00000588 | 23 | −0.000002983 | 23 | 0.000002983 | 23 | 0.00000298 | 23 | −0.00000298 | 24 | −0.000001509 | 24 | 0.000001509 | 24 | 0.00000151 | 24 | −0.00000151 | 25 | −0.000000762 | 25 | 0.000000762 | 25 | 0.00000076 | 25 | −0.00000076 | 26 | −0.000000384 | 26 | 0.000000384 | 26 | 0.00000038 | 26 | −0.00000038 | 27 | −0.000000191 | 27 | 0.000000191 | 27 | 0.00000019 | 27 | −0.00000019 | 28 | −0.000000095 | 28 | 0.000000095 | 28 | 0.00000009 | 28 | −0.00000009 | 29 | −0.000000046 | 29 | 0.000000046 | 29 | 0.00000004 | 29 | −0.00000004 | 30 | −0.00000002 | 30 | 0.00000002 | 30 | 0.00000002 | 30 | −0.00000002 | 31 | −0.000000007 | 31 | 0.000000007 | 31 | 0.00000001 | 31 | −0.00000001 | 32 | 0 | 32 | 0 | | | | |
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