Research Article
On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces
Table 1
Convergence rate comparison of various iterations.
| Number of iterations () | Mann iteration (M) | Ishikawa iteration (I) | Noor iteration (N) | Implicit Mann iteration (IM) | Implicit Ishikawa iteration (II) | Implicit Noor iteration (IN) |
| 25 | 0.4 | 0.28 | 0.256 | 0.25 | 0.0625 | 0.015625 | 26 | 0.164661 | 0.082955 | 0.070051 | 0.0670294 | 0.004493 | 0.000301 | 27 | 0.0695938 | 0.025844 | 0.020326 | 0.0191074 | 0.000365 | 6.97593 − 06 | 28 | 0.0301378 | 0.008423 | 0.006213 | 0.00575025 | 3.306536 − 05 | 1.90134 − 07 | 29 | 0.0133485 | 0.002859 | 0.00199 | 0.00181636 | 3.299167 − 06 | 5.992477 − 09 | 30 | 0.00603721 | 0.001007 | 0.000665 | 0.000599294 | 3.591534 − 07 | 2.152385 − 10 | 31 | 0.00278426 | 0.000367 | 0.000231 | 0.000205692 | 4.230913 − 08 | 8.702644 − 12 | 32 | 0.00130768 | 0.000138 | 8.287781 − 05 | 7.31828 − 005 | 5.355715 − 09 | 3.91946 − 13 | 33 | 0.000624769 | 5.337885 − 05 | 3.075038 − 05 | 2.69091 − 005 | 7.240995 − 10 | 1.948486 − 14 | 34 | 0.000303328 | 2.120576 − 05 | 1.175085 − 05 | 1.01987 − 005 | 1.040128 − 10 | 1.060791 − 15 | 35 | 0.000149513 | 8.63484 − 06 | 4.614614 − 06 | 3.97501 − 006 | 1.580069 − 11 | 6.280786 − 17 | 36 | 7.47563 − 005 | 3.59785 − 06 | 1.858664 − 06 | 1.59 − 006 | 2.52811 − 12 | 4.019703 − 18 | — | — | — | — | — | — | — | — | — | — | — | — | — | — |
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