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On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations
| Content Provider | MDPI |
|---|---|
| Author | Argyros, Christopher I. Argyros, Ioannis K. Joshi, Janak Regmi, Samundra George, Santhosh |
| Copyright Year | 2021 |
| Description | Symmetries play a crucial role in the dynamics of physical systems. As an example, microworld and quantum physics problems are modeled on principles of symmetry. These problems are then formulated as equations defined on suitable abstract spaces. Then, these equations can be solved using iterative methods. In this article, an Ostrowski-type method for solving equations in Banach space is extended. This is achieved by finding a stricter set than before containing the iterates. The convergence analysis becomes finer. Due to the general nature of our technique, it can be utilized to enlarge the utilization of other methods. Examples finish the paper. |
| Starting Page | 2281 |
| e-ISSN | 20738994 |
| DOI | 10.3390/sym13122281 |
| Journal | Symmetry |
| Issue Number | 12 |
| Volume Number | 13 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-12-01 |
| Access Restriction | Open |
| Subject Keyword | Symmetry Ostrowski-type Method Banach Space Convergence Criterion |
| Content Type | Text |
| Resource Type | Article |
