| Autor: |
Chairatsiripong Chonjaroen, Yambangwai Damrongsak, Thianwan Tanakit |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Demonstratio Mathematica, Vol 56, Iss 1, Pp 133-181 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2391-4661 |
| DOI: |
10.1515/dema-2022-0234 |
| Popis: |
In this article, weak and strong convergence theorems of the M-iteration method for 𝒢-nonexpansive mapping in a uniformly convex Banach space with a directed graph were established. Moreover, weak convergence theorem without making use of Opial’s condition is proved. The rate of convergence between the M-iteration and some other iteration processes in the literature was also compared. Specifically, our main result shows that the M-iteration converges faster than the Noor and SP iterations. Finally, the numerical examples to compare convergence behavior of the M-iteration with the three-step Noor iteration and the SP-iteration were given. As application, some numerical experiments in real-world problems were provided, focused on image deblurring and signal recovering problems. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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