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A study of asymptotically non-expansive mapping iteration and weakly convergent approximation methods based on Banach spaces

Zhirong Guo

Zhirong Guo

School of Mathematical Sciences, Yangzhou Polytechnic CollegeYangzhou, China
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Guo, Zhirong
  
Feb 03, 2025
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Published Online: Feb 03, 2025
Received: Sep 25, 2024
Accepted: Jan 04, 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.

Two-dimensional graph
Two-dimensional graph

Figure 2.

Three-dimensional graph
Three-dimensional graph

Figure 3.

Convergence comparison of the iterative algorithm
Convergence comparison of the iterative algorithm

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
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