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- Title
On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations.
- Authors
Argyros, Christopher I.; Argyros, Ioannis K.; Joshi, Janak; Regmi, Samundra; George, Santhosh
- Abstract
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.
- Subjects
BANACH spaces; EQUATIONS; QUANTUM theory; NONLINEAR equations
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 12, p2281
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13122281