We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Unified ball convergence of third and fourth convergence order algorithms under ש -- continuity conditions.
- Authors
Argyros, Gus; Argyros, Michael; Argyros, Ioannis K.; George, Santhosh
- Abstract
There is a plethora of third and fourth convergence order algorithms for solving Banach space valued equations. These orders are shown under conditions on higher than one derivatives not appearing on these algorithms. Moreover, error estimations on the distances involved or uniqueness of the solution results if given at all are also based on the existence of high order derivatives. But these problems limit the applicability of the algorithms. That is why we address all these problems under conditions only on the first derivative that appear in these algorithms. Our analysis includes computable error estimations as well as uniqueness results based on ש continuity conditions on the Fréchet derivative of the operator involved.
- Subjects
ALGORITHMS; BANACH spaces; DERIVATIVES (Mathematics); EQUATIONS; OPERATOR equations
- Publication
Journal of Mathematical Modeling (JMM), 2021, Vol 9, Issue 2, p173
- ISSN
2345-394X
- Publication type
Article
- DOI
10.22124/jmm.2020.17556.1513