Hybrid algorithm with perturbations for total asymptotically non-expansive mappings in CAT(0) space
In this paper, we establish strong and Δ-convergence theorems of the modified hybrid-CR three steps iteration with perturbations for total asymptotically non-expansive mapping in CAT(0) spaces. Our results improve and extend the corresponding results from the current literature. We also provide thre...
- Autores:
-
Calderón J., Kenyi
Martínez Moreno, Juan Martínez
Rojas, Edixon M.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Ciencias Aplicadas y Ambientales U.D.C.A
- Repositorio:
- Repositorio Institucional UDCA
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udca.edu.co:11158/3251
- Acceso en línea:
- https://repository.udca.edu.co/handle/11158/3251
- Palabra clave:
- Algoritmos
Fixed point
Hybrid iteration
Perturbations
Spaces
Three steps iteration
Cartografía
- Rights
- openAccess
- License
- Derechos Reservados - Universidad de Ciencias Aplicadas y Ambientales
| Summary: | In this paper, we establish strong and Δ-convergence theorems of the modified hybrid-CR three steps iteration with perturbations for total asymptotically non-expansive mapping in CAT(0) spaces. Our results improve and extend the corresponding results from the current literature. We also provide three examples to illustrate the convergence behaviour of the proposed algorithm and numerically compare the convergence of the proposed iteration scheme with the existing schemes. |
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