A new three-step fixed point iteration scheme with strong convergence and applications.
[EN]This work proposes a new three-step iteration scheme to approximate the fixed points of a contractive like mapping. Further, the stability and strong convergence of the proposed scheme are considered, and their applicability to different problems is discussed. Some numerical experiments are pres...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/156295 |
| Acceso en línea: | http://hdl.handle.net/10366/156295 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point method Non-linear equation Banach space Order of convergence 12 Matemáticas |
| Sumario: | [EN]This work proposes a new three-step iteration scheme to approximate the fixed points of a contractive like mapping. Further, the stability and strong convergence of the proposed scheme are considered, and their applicability to different problems is discussed. Some numerical experiments are presented, showing that the new scheme outperforms all the well-known existing three-step schemes available in the literature. |
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