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On the Semi-Local Convergence of a Traub-Type Method for Solving Equations
| Content Provider | MDPI |
|---|---|
| Author | Regmi, Samundra Argyros, Christopher I. Argyros, Ioannis K. George, Santhosh |
| Copyright Year | 2022 |
| Description | The celebrated Traub’s method involving Banach space-defined operators is extended. The main feature in this study involves the determination of a subset of the original domain that also contains the Traub iterates. In the smaller domain, the Lipschitz constants are smaller too. Hence, a finer analysis is developed without the usage of additional conditions. This methodology applies to other methods. The examples justify the theoretical results. |
| Ending Page | 127 |
| Page Count | 14 |
| Starting Page | 114 |
| e-ISSN | 26739321 |
| DOI | 10.3390/foundations2010006 |
| Journal | Foundations |
| Issue Number | 1 |
| Volume Number | 2 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-14 |
| Access Restriction | Open |
| Subject Keyword | Foundations Traub's Method Banach Space Convergence Criterion |
| Content Type | Text |
| Resource Type | Article |
