A study of asymptotically non-expansive mapping iteration and weakly convergent approximation methods based on Banach spaces
03 feb 2025
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Publicado en línea: 03 feb 2025
Recibido: 25 sept 2024
Aceptado: 04 ene 2025
DOI: https://doi.org/10.2478/amns-2025-0040
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© 2025 Zhirong Guo, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1.
Figure 2.
Figure 3.
Numerical comparison of convergence between algorithms
| n | Algorithm 9 | Algorithm 10 | Algorithm 12 | Algorithm 28 |
|---|---|---|---|---|
| 1 | 100 | 100 | 100 | 100 |
| 2 | 39.9973 | 34.9969 | 19.9997 | 4.8332 |
| 3 | 27.9969 | 21.8754 | 9.2945 | 0.4462 |
| 4 | 22.0014 | 15.7271 | 5.4182 | 0.043 |
| 5 | 18.3379 | 12.1843 | 3.5687 | 0.0064 |
| 6 | 15.8334 | 9.9048 | 2.5476 | 5E-4 |
| 7 | 14.0063 | 8.3063 | 1.8985 | 1E-4 |
| 8 | 12.6092 | 7.14 | 1.4791 | 0 |
| 9 | 11.49 | 6.2552 | 1.1944 | 0 |
| … | … | … | … | … |
| 96 | 7.3599 | 3.2601 | 0.4099 | 0 |
| 97 | 7.0265 | 3.0455 | 0.3651 | 0 |
| 98 | 6.7271 | 2.8536 | 0.2187 | 0 |
| 99 | 6.4581 | 2.678 | 0.1097 | 0 |
| 100 | 6.2034 | 2.5275 | 0 | 0 |